3681047932800 has 576 divisors, whose sum is σ = 14171179415040. Its totient is φ = 837372211200.

The previous prime is 3681047932769. The next prime is 3681047932823. The reversal of 3681047932800 is 82397401863.

It is a super-2 number, since 2×3681047932800² (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, 99235857 + ... + 99272943.

It is an arithmetic number, because the mean of its divisors is an integer number (24602742040).

Almost surely, 2^{3681047932800} is an apocalyptic number.

3681047932800 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 3681047932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085589707520).

3681047932800 is an abundant number, since it is smaller than the sum of its proper divisors (10490131482240).

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

3681047932800 is a wasteful number, since it uses less digits than its factorization.

3681047932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37339 (or 37315 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 3681047932800 in words is "three trillion, six hundred eighty-one billion, forty-seven million, nine hundred thirty-two thousand, eight hundred".