38871464625 has 320 divisors, whose sum is σ = 86809062912. Its totient is φ = 17006112000.

The previous prime is 38871464591. The next prime is 38871464629. The reversal of 38871464625 is 52646417883.

It is a happy number.

38871464625 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 1 + 4 + 6 + 4 + 625 = 666.

It is not a de Polignac number, because 38871464625 - 2⁸ = 38871464369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38871464629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 637237095 + ... + 637237155.

Almost surely, 2^38871464625 is an apocalyptic number.

38871464625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38871464625 is an abundant number, since it is smaller than the sum of its proper divisors (47937598287).

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

38871464625 is an frugal number, since it uses more digits than its factorization.

38871464625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 38871464625 in words is "thirty-eight billion, eight hundred seventy-one million, four hundred sixty-four thousand, six hundred twenty-five".