I have had a 3720 for 2 days. I have the 448 hoe and don't have the tires filled. I hauled about 30 full buckets of dirt/shale today with the backhoe on. I can tell you for sure that you will need to keep the bucket low and go slow ( I recommend A range). I got doing things quick today and there were several times that I had a back wheel off the ground and one time as I was travelling through my yard on a small down slope and raised the loader while moving to begin to dump and the left rear wheel came WAY off the ground and I was amazed it did not roll. I was looking right down at the ground and I did not have the seat belt on. The pucker factor was enormous and I certainly would have been severely injured, if not killed.
I am still debating the tire fill issue. The owners manual says a minimum of 1100 lb. 3ph ballast, filled tires AND 3 wheel weights per tire. If you are not going to mow your finished lawn, as I do with the 72" MMM, I would highly recommend the filled tires as a safety issue. I also highly recommend keeping the seatbelt on for loader work.
I do not think it will be too much with filled tires and the backhoe. If you are not going to always use the backhoe for ballast while doing loader work I can just about guarantee that you had better have a ballast box loaded with lead if you want to keep the rear tires on the ground.
I am going to not load the tires now due to the mowing issue but I may in the future (Especially if I have anymore close calls) It may not be that much of an issue on the grass anyway and it can only help the loader. I have the 300CX and I am not as impressed with the power of it as others here but having a toothbar for the first time may be most of the problem as the teeth stick into the material and the loader will not move till you back out. I have got better with it but it is not as powerful as I had expected.
Hope this helps....
Shooter