Note: This question is inspired from this post.
The number of days since I was born is approximately the number of days in (cube root of year) years (ingnoringignoring leap years), and today is the (cube root of year)$^{2}$th day of the year.
It is also worth to mention that the date format of my DOB (Date Of Birth), written in MM/DD/YYYY is that DD is the $n^{th}$ Fibonacci Number, $n$ is the value of MM, and YYYY is the product of MM, DD, and the cube root of the year.
Question:
What date is today and what day I was born?
Hint:
Today's date falls one day earlier than the day of the week I was born.