According to the Bible, a whole lot.
Our names matter. Parents give names to their children to mark them as individuals who are known and loved. When people forget your name, you sense they have forgotten you. The deliberate erasure of people’s names, as was done to Holocaust victims, attempts to erase their identity as individuals. Your name matters uniquely because you matter uniquely. And in this era of increasing anonymity, our names feel more and more important.
In scripture, great power and significance are attached to names.