3680886149955 has 128 divisors (see below), whose sum is σ = 7527222743040. Its totient is φ = 1671788436480.

The previous prime is 3680886149929. The next prime is 3680886149987. The reversal of 3680886149955 is 5599416880863.

3680886149955 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 8 + 86 + 1 + 499 + 55 = 666.

It is not a de Polignac number, because 3680886149955 - 2⁵ = 3680886149923 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101487154 + ... + 101523416.

It is an arithmetic number, because the mean of its divisors is an integer number (58806427680).

Almost surely, 2^{3680886149955} is an apocalyptic number.

3680886149955 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3680886149955 is an abundant number, since it is smaller than the sum of its proper divisors (3846336593085).

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

3680886149955 is a wasteful number, since it uses less digits than its factorization.

3680886149955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36978 (or 36972 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 3680886149955 in words is "three trillion, six hundred eighty billion, eight hundred eighty-six million, one hundred forty-nine thousand, nine hundred fifty-five".