3658967618688 has 48 divisors (see below), whose sum is σ = 10529060468550. Its totient is φ = 1219655872512.

The previous prime is 3658967618639. The next prime is 3658967618701. The reversal of 3658967618688 is 8868167698563.

It is a happy number.

3658967618688 is a `hidden beast` number, since 365 + 8 + 9 + 6 + 76 + 186 + 8 + 8 = 666.

3658967618688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2876931607104 + 782036011584 = 1696152^2 + 884328^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1588092433 + ... + 1588094736.

Almost surely, 2^{3658967618688} is an apocalyptic number.

It is an amenable number.

3658967618688 is an abundant number, since it is smaller than the sum of its proper divisors (6870092849862).

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

3658967618688 is a wasteful number, since it uses less digits than its factorization.

3658967618688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176187189 (or 3176187174 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 3658967618688 in words is "three trillion, six hundred fifty-eight billion, nine hundred sixty-seven million, six hundred eighteen thousand, six hundred eighty-eight".