3631013796816 has 360 divisors, whose sum is σ = 12273791212800. Its totient is φ = 997947578880.

The previous prime is 3631013796793. The next prime is 3631013796859. The reversal of 3631013796816 is 6186973101363.

3631013796816 is a `hidden beast` number, since 36 + 310 + 137 + 96 + 81 + 6 = 666.

3631013796816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3631013796816² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55420365 + ... + 55485843.

It is an arithmetic number, because the mean of its divisors is an integer number (34093864480).

Almost surely, 2^{3631013796816} is an apocalyptic number.

3631013796816 is a gapful number since it is divisible by the number (36) 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 3631013796816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136895606400).

3631013796816 is an abundant number, since it is smaller than the sum of its proper divisors (8642777415984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3631013796816 is a wasteful number, since it uses less digits than its factorization.

3631013796816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65807 (or 65791 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3631013796816 in words is "three trillion, six hundred thirty-one billion, thirteen million, seven hundred ninety-six thousand, eight hundred sixteen".