In my wife's Mexican tradition, gifts are exchanged on January 6th, following on from the gifts of the three. It's also my wife's birthday - a significant one this year. And also the birthday of her little sister, who was born on my wife's 21st birthday.
This little sister is her only family member in Australia. So my wife's birthday is being celebrated with a Sydney Harbour cruise dinner the following day.
And as far as the three kings. I looked this up as I didn't know. They are called kings because of a couple of passages in the Old Testament referring to kings. The number isn't specified in the original account either. There were three gifts - but in some Eastern Christian traditions, there were twelve. According to that reliable source, Wikipedia.
https://en.m.wikipedia.org/wiki/Biblica ... %20Magi%20(%2F%CB%88m,of%20gold%2C%20frankincense%20and%20myrrh.