I don't know of any 2500 truck that can carry 3600 lbs in the bed without exceeding RAWR. According to Ram Body builder guide the tradesman has a 6000 RAWR.
  Simple math shows the truck may have a 3000 lb rear axle weight which leaves around 3000 lbs before exceeding the trucks 6000 RAWR/tire load ratings.
 The 3610 lb payload is a GVWR payload so will have to be spread over the trucks front and rear axles.
 If your going to use this truck for that much trailer you will need to upgrade to higher rated  18"/20" wheels and tires and some type of suspension help for the 6000 lb rear spring pack.