3681011136800 has 72 divisors (see below), whose sum is σ = 9006739156800. Its totient is φ = 1469050318080.

The previous prime is 3681011136791. The next prime is 3681011136811. The reversal of 3681011136800 is 86311101863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4889420 + ... + 5591819.

It is an arithmetic number, because the mean of its divisors is an integer number (125093599400).

Almost surely, 2^{3681011136800} is an apocalyptic number.

It is an amenable number.

3681011136800 is an abundant number, since it is smaller than the sum of its proper divisors (5325728020000).

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

3681011136800 is a wasteful number, since it uses less digits than its factorization.

3681011136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481698 (or 10481685 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 3681011136800 in words is "three trillion, six hundred eighty-one billion, eleven million, one hundred thirty-six thousand, eight hundred".