Golden_HVAC writes "Normally I would rather put up with the heat than listen to the generator noise. You are looking at especially noisy generators."
Interesting comment.
I myself grew up without A/C in my parents house, I vividly remember stifling high humidity coupled with 90+ temps and not one stitch of wind. It was cooler to be outside than inside and inside all the fans did was blow around STICKY HOT air. Not much fun to say the least and something I REFUSE to do if I have the means to avoid it.
I would rather listen to a very loud contractors gen with no muffler while being inside in comfort than to sit listening to my sweat beads drop onto my face.
I find that the RV A/C units easily DROWNS OUT ANY AND ALL NOISE created by my portable China gen. RV A/C units are very noisy and tend to create a lot of vibration which is transmitted to the ceiling, walls and even floor.
I think the OP is NOT concerned about buying an expensive special colored gen in order to reduce the noise level INSIDE the RV.
Rather they are wanting to know if a particular gen with a particular power rating will power their A/C.
For the OP, any gen which can deliver 3500W continuously will have no problem with running your A/C unit.
For the record, 3500W at 120V is 29.2 Amps which is inline with a 30A shore cord.
4000W at 120V surge rating is 33.3A.
Both will exceed the requirements of your A/C unit, provided the gen has the capability of delivering 120V on ONE outlet (Champion unit should have a 120V/240V switch so that should be fine).