38717252172720 has 120 divisors (see below), whose sum is σ = 141845932989072. Its totient is φ = 9386000524800.

The previous prime is 38717252172689. The next prime is 38717252172743. The reversal of 38717252172720 is 2727125271783.

38717252172720 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 72 + 521 + 7 + 27 + 20 = 666.

38717252172720 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 (120).

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 23 ways as a sum of consecutive naturals, for example, 2444263051 + ... + 2444278890.

Almost surely, 2^{38717252172720} is an apocalyptic number.

38717252172720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38717252172720 is an abundant number, since it is smaller than the sum of its proper divisors (103128680816352).

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

38717252172720 is a wasteful number, since it uses less digits than its factorization.

38717252172720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888541971 (or 4888541962 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 38717252172720 in words is "thirty-eight trillion, seven hundred seventeen billion, two hundred fifty-two million, one hundred seventy-two thousand, seven hundred twenty".