Why would the pump HUM if there is no call for water? Well, this is an easy one, The pump is controlled by a pressure switch, I will round shamlessely and say that it wants to see 50 PSI, if it sees 40 PSI, OR LESS it turns on and pumps. It will pump air if there is nothing else to pump but due to the design of the pump it can not compress AIR to 50 PSI shut off, so it will run, as long as the batteries hold out.
(Water does not compress, what compresses is the air cushion in the water heater, Thus providing the back pressure needed to shut it off.. If you really need to understand why it works I can explain but ... Well, enough typing already for one post.
Thus the pump keeps running and running...
Now the good news: Most all RV water pumps have no problem running dry for hours on end,, Does not harm them.