Hi, you wrote: 'I never thought about it at the time, but could it be it takes more power to run 3600 rpm vs 1800 ?'
5kW is 5Kw whether it is DC, AC, mechanical or heat. The speed will make no difference to that. What might make a small difference is the bearing and belt losses, etc.
Your machine:
An overly large generator may only be at it's most efficient somewhere near full load - advertising specs often don't give too much info on this. Think about it; no load at all, you are still driving the machine so efficiency is zero. Full load, you still have the same drive losses but they are relatively insignificant as a %compared to low load. Remember, for instance, the cooling fan on that generator is designed for 5kW output, so that will always be oversized.
All these things are relatively small but are all additive: 4 lots of 5% mean a whacking 20% in total - that's 1.2 of your 6 .5 horses! Now 20% of 5kW is a 1kW loss ; that same IkW lost out of 3kW is 33%. See my drift? Figures may not be right for your situation/installation but the similarity will hold true. Remember, we only have power losses, no gains from input to output!
it is generally accepted that one needs about 10 HP to drive a 5kW generator (2HP/kW).
Hope this helps.
regards, RAB