38975677977600 has 1320 divisors, whose sum is σ = 177628371417728. Its totient is φ = 8223399936000.

The previous prime is 38975677977581. The next prime is 38975677977631. The reversal of 38975677977600 is 677977657983.

It is a super-2 number, since 2×38975677977600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 38975677977600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188594325 + ... + 188800875.

Almost surely, 2^{38975677977600} is an apocalyptic number.

38975677977600 is a gapful number since it is divisible by the number (30) 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 38975677977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88814185708864).

38975677977600 is an abundant number, since it is smaller than the sum of its proper divisors (138652693440128).

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

38975677977600 is a wasteful number, since it uses less digits than its factorization.

38975677977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206613 (or 206581 counting only the distinct ones).

The product of its (nonzero) digits is 5881105440, while the sum is 81.

The spelling of 38975677977600 in words is "thirty-eight trillion, nine hundred seventy-five billion, six hundred seventy-seven million, nine hundred seventy-seven thousand, six hundred".