38792660860800 has 3456 divisors, whose sum is σ = 181037137881600. Its totient is φ = 7682936832000.

The previous prime is 38792660860757. The next prime is 38792660860847. The reversal of 38792660860800 is 806806629783.

It is a super-2 number, since 2×38792660860800² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 232291382317 + ... + 232291382483.

It is an arithmetic number, because the mean of its divisors is an integer number (52383431100).

Almost surely, 2^{38792660860800} is an apocalyptic number.

38792660860800 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 38792660860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90518568940800).

38792660860800 is an abundant number, since it is smaller than the sum of its proper divisors (142244477020800).

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

38792660860800 is a wasteful number, since it uses less digits than its factorization.

38792660860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 38792660860800 in words is "thirty-eight trillion, seven hundred ninety-two billion, six hundred sixty million, eight hundred sixty thousand, eight hundred".