How Did God Introduce Himself to Moses?

God introduced Himself to Moses as "I AM" (אהיה אשר אהיה).
And God said unto Moses, I AM THAT I AM: and he said, Thus shalt thou say unto the children of Israel, I AM hath sent me unto you. (Exodus 3:14 KJV)

How does God describe Himself?
And the Lord descended in the cloud, and stood with him there, and proclaimed the name of the Lord. And the Lord passed by before him, and proclaimed, The Lord, The Lord God, merciful and gracious, longsuffering, and abundant in goodness and truth, Keeping mercy for thousands, forgiving iniquity and transgression and sin, and that will by no means clear the guilty; visiting the iniquity of the fathers upon the children, and upon the children's children, unto the third and to the fourth generation. (Exodus 34:5-7 KJV)