From your profile you may have a 3500 SRW Dodge/Cummins. The engine/tranny and the rear axle is the same as the 3500 DRW truck. The truck won't have any issue pulling a big heavy trailer.
As Bob and chuck mentions as long as your under the trucks axle/tire load rating your good to go and in particular the trucks 6200-6500 RAWR.
Many 3500 SRW Dodge owners over on the truck camper forum carry 3000-4000+ lb campers. They upgrade to higher rated tires and wheels and add air bags or other aftermarket rear suspension help.
Truck makers set the trucks GAWR which is well below the axle manufacturer ratings. The AAM is rated up to 11k lbs according to many sources. Dodge gives it a 6200-6500 rating for the SRW and a 9350 RAWR for the DRW so your not going to make it sweat any.
IMO your biggest concern is having enough tire/wheel/spring capacity and in particular wheel and tire from a safety standpoint regardless of how far you pull it.
