3628800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (270).
It is a congruent number.
It is an unprimeable number.
Almost surely, 23628800 is an apocalyptic number.
3628800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3628800 is an equidigital number, since it uses as much as digits as its factorization.
3628800 is an odious number, because the sum of its binary digits is odd.
The square root of 3628800 is about 1904.9409439665. The cubic root of 3628800 is about 153.6694997985.
The spelling of 3628800 in words is "three million, six hundred twenty-eight thousand, eight hundred".