38364997125 has 384 divisors, whose sum is σ = 86046105600. Its totient is φ = 15001459200.

The previous prime is 38364997109. The next prime is 38364997133. The reversal of 38364997125 is 52179946383.

It is not a de Polignac number, because 38364997125 - 2⁴ = 38364997109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 358551322 + ... + 358551428.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 2^38364997125 is an apocalyptic number.

38364997125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38364997125 is an abundant number, since it is smaller than the sum of its proper divisors (47681108475).

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

38364997125 is a wasteful number, since it uses less digits than its factorization.

38364997125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 38364997125 in words is "thirty-eight billion, three hundred sixty-four million, nine hundred ninety-seven thousand, one hundred twenty-five".