38577917952 has 624 divisors, whose sum is σ = 135957494400. Its totient is φ = 10924720128.

The previous prime is 38577917941. The next prime is 38577917953. The reversal of 38577917952 is 25971977583.

38577917952 is a `hidden beast` number, since 3 + 8 + 577 + 9 + 1 + 7 + 9 + 52 = 666.

It is a super-2 number, since 2×38577917952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 38577917952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38577917953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341397448 + ... + 341397560.

It is an arithmetic number, because the mean of its divisors is an integer number (217880600).

Almost surely, 2^38577917952 is an apocalyptic number.

38577917952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38577917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67978747200).

38577917952 is an abundant number, since it is smaller than the sum of its proper divisors (97379576448).

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

38577917952 is an frugal number, since it uses more digits than its factorization.

38577917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 125 counting only the distinct ones).

The product of its digits is 33339600, while the sum is 63.

The spelling of 38577917952 in words is "thirty-eight billion, five hundred seventy-seven million, nine hundred seventeen thousand, nine hundred fifty-two".