There's a lot in a name. For example, if your name is Vinnie, and you're from Brooklyn, well that tells you a lot. Or if your name is Moon or Dweezle (I'm not making these up), then it says something about the parents (eccentric weirdo Frank Zappa being one of them). Names often fit the person and sometimes become prophetic, even shaping the person.
But when you have a Name that cannot really be spoken, like "I AM," a name that in Hebrew cannot even be pronounced ("YHWH"), then we're dealing with a different species of thing, a self-existent being whose nature we cannot fully comprehend. His is a name above all names, a name outside of this world, and no name given by Him or conceived by us will do justice to His nature.
But of course there are lots of names in Scripture for "I AM," like Alpha and Omega, Jehovah, Morning Star, Love, and so on. But in the end names fail us. Of course, no God outside of time and space can be named, really, because to name Him makes him smaller, and He is too big to be poured into a word.
His final Word to us settled it. He came in flesh. He became a living Word. Knowing that Word, that Name, will take eternity. That's the point, really.