No way it could be 3,600 pounds. That's about as much as the car itself weighs. Don't know the ratio, but the a vehicle must outweigh whatever it is towing.
Tried to find some data on how heavy a tow vehicle should be compared to what it is towing, and didn't find much. Just a bunch a talk about gross vehicle weight and such stuff. One person gave the example that semi tractors weigh much less that what they are towing. So, it must be something else.
However, for us non-professional semi truck drivers, we should adhere to towing much less than what we weigh. In this case, with the hybrid, it is rated to tow about half of what it weights.
I learned from personal experience one day when using my Ford Ranger 4.0 liter six cylinder to tow my Mercedes coupe into the shop. It was about a fifty mile trip, up and down over some pretty long, sustained hills. I learned very quickly that if I didn't keep my speed below about fifty mph, that I'd tend to fishtail. And, going faster tended to lift up the front end of the Ranger slightly, thereby losing all steering control. (It was a dumb thing to do, and I never did it again. Just too dangerous.)