The Grundig S350DL is a nice SW Broadcast radio. It does not have Single Side Band (SSB) so you cannot listen to hams talk.
There are different ways radio waves propagate, and this has nothing to do with how good your antenna or radio. It has to do with frequency and the atmosphere.
Line of sight, directly from the transmitting antenna to the receiving antenna. The radios have to "see" each other. Actually you get a little more distance than that, as the radio wave refracts around the curvature of the earth a smidge, but not much more. FM radio (88-108 mhz), TV (47 mhz on up), police and fire radios (155 mhz), marine, aircraft, etc, are all good examples of Line of Sight frequencies.
Groundwave. Lower frequencies travel farther than light of sight. During the day you can hear AM radio (530 khz to 1700 khz, roughly centered around 1 mhz) out to about 150-200 miles for strong stations with good antennas.
Skip. This is where the signals bounce off the Ionosphere, like reflecting a flashlight off a mirror. This is why you can hear certain strong AM stations at night all over the country, such as WLS in Chicago, WGN in Atlanta, WOAI in San Antonio, KMOX in St. Louis, or WWL in New Orleans. And due to different reasons, why HF aka High Frequency aka Shortwave, can go long distances in the day time.
Around the "40 meter band" or 7 mhz, this band will work from an hour or so before dawn, to mid to late morning, then go dead. It will come up again a few hours before sundown and go dead an hour or two after sundown.
Frequencies below 7 mhz, such as the international broadcast band around 5 mhz and 6 mhz, the "80 meter" and "75 meter" ham band from 3.5 - 4.0 mhz, the 90 meter band around 3 mhz, the 160 meter ham band from 1.8 - 2.0 mhz, and the AM broadcast band are local only during the day, but come alive at sundown. You can receive from all over the country at night on these lower frequencies.
Frequencies above 7 mhz will generally be daylight bands. International broadcasts higher up, 9 mhz - 12 mhz, will be heard middle of the day, roughly from about 8 am - 4 pm. Perhaps longer, all depending on the Ionosphere. And the higher bands, again, daylight only bands.
Also, the international broadcast bands are all AM. So, don't listen for FM except in the 88-108 FM band.
The S350DL has antenna terminals on back for AM and shortwave, but it has a very good ferrite loop stick internally for the AM band. For a nice SW antenna, an "active loop" that is, battery powered amplifier, small, yet effective, let me recommend the Degen or Kaito 31 or 33. These are essentially the same antenna but for label. This antenna will attach to the red and black terminals on back. You can also try a long wire, say, from 25'-100' attached to the red terminal and stretched outside to a nearby tree or other high point to hang it from. The black terminal can be connected to a cold water pipe (copper, not plastic, duh) ground, or even another length of wire stretched out on the ground or in the opposite direction from the red terminal wire.
There is also a socket on back of the radio that requires a PAL to F adapter. The Radio Shack part number is in the manual and is usually hung near the shelf where you found the S350DL there at Radio Shack. With that adapter you can connect to your cable tv wiring, if your cable system carries the FM band, as some do. Or connect to an outdoor TV or FM antenna. This works well, I've done it myself.
You can run RCA phono cables from the L and R outputs on the end to your stereo system and get VERY good quality sound from it, as good as many FM tuners/receivers.
This radio has a neat feature. Under where you would put in 4 D cells in the battery compartment it will also hold 4 AA's that you can use, scrounged from other devices. It will not operate as long as good Alkaline D's, but it will work for a while in an emergency where you can't get D's.
BTW, for the guys putting down Radio Shack, the Grundig S350DL is sold by them, and others, but made by Eton' who owns the Grundig name brand now. Still, this is a nice radio for under $100.
It will run a helluva long time on fresh D cells, and it is loud enough without distortion so everyone in the room can hear the news or other broadcast clearly. But the best feature, you can hand this radio to ANYONE and without the manual, they can figure out how to turn it on, dial in a station, and adjust volume, treble, bass, frequency, etc. That can't be said for many of the other small radios on the market. I once had a Grundig Yachtboy 4000 that I never did figure out how to use without the manual open each time I turned it on. Press this while holding that, then ... well, you get my drift. Screw it.
The S350DL is a good choice.