I wonder what makes Apple decide when to use the i prefix and when not to. They seem to overuse it and risk diluting the brand but then do not use it when it might be good to. Why didn't they go with iApp Store?
Anyway Apple really brought the term App into the everyday lexicon. The term existed previously but only after Apple's iphone and app store did it become mainstream.
If I were steve jobs, my initial complain would be that the first two letters would be vowels. iApp doesn't sound 100% clear.