3681468864 has 84 divisors (see below), whose sum is σ = 11173017024. Its totient is φ = 1154967552.

The previous prime is 3681468853. The next prime is 3681468871. The reversal of 3681468864 is 4688641863.

3681468864 is a `hidden beast` number, since 368 + 146 + 88 + 64 = 666.

3681468864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3681468864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178192 + ... + 197775.

Almost surely, 2^3681468864 is an apocalyptic number.

3681468864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3681468864 is an abundant number, since it is smaller than the sum of its proper divisors (7491548160).

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

3681468864 is a wasteful number, since it uses less digits than its factorization.

3681468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376002 (or 375989 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 3681468864 is about 60675.1090975533. The cubic root of 3681468864 is about 1544.0939117979.

The spelling of 3681468864 in words is "three billion, six hundred eighty-one million, four hundred sixty-eight thousand, eight hundred sixty-four".