38676132674160 has 80 divisors (see below), whose sum is σ = 119900344934400. Its totient is φ = 10313262593280.

The previous prime is 38676132674143. The next prime is 38676132674183. The reversal of 38676132674160 is 6147623167683.

38676132674160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38676132674094 and 38676132674103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3773265 + ... + 9570255.

It is an arithmetic number, because the mean of its divisors is an integer number (1498754311680).

Almost surely, 2^{38676132674160} is an apocalyptic number.

38676132674160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38676132674160 is an abundant number, since it is smaller than the sum of its proper divisors (81224212260240).

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

38676132674160 is a wasteful number, since it uses less digits than its factorization.

38676132674160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824806 (or 5824800 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 38676132674160 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred thirty-two million, six hundred seventy-four thousand, one hundred sixty".