I had to look up which model was the 368. Looks like the "regular" marathon. I like marathon tires a lot as I have 10 of them: 4 supremes, 2 XRs, 2 racers, and 2 winters. Never got a flat on any of them over thousands of miles. They're not the fastest tires, obviously, but they're very durable, grip well in a variety of conditions, and are comfortable to ride. Ideal for touring/commuting IMO.
My only complaint so far has been with the winters. These tires are great on ice or hard-packed snow and roll well enough on clear roads (albeit, slow). However, they're not much better than normal road tires on loose snow. When riding on loose snow of more than 5cm (2 inches), the snow cakes up around the tread and buries the studs rendering them useless. They're very squirrelly in soft ruts too. On days with fresh snow, I've reverted back to using my mountain bike with unstudded knobbies, which perform better in loose stuff. So these aren't "do everything" winter tires but they're fine for about 95% of my winter riding when the roads are clear or hard-packed.
As for the product line, Schwalbe currently has 11 different tires named Marathon something or other. Plus there are a few discontinued models that used the Marathon name too. They're good tires, but the product names are pretty confusing.