38394792374400 has 5376 divisors, whose sum is σ = 187224772204800. Its totient is φ = 7546178764800.

The previous prime is 38394792374377. The next prime is 38394792374413. The reversal of 38394792374400 is 447329749383.

38394792374400 is a `hidden beast` number, since 3 + 8 + 3 + 94 + 79 + 2 + 3 + 74 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 352245801546 + ... + 352245801654.

Almost surely, 2^{38394792374400} is an apocalyptic number.

38394792374400 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 38394792374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93612386102400).

38394792374400 is an abundant number, since it is smaller than the sum of its proper divisors (148829979830400).

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

38394792374400 is a wasteful number, since it uses less digits than its factorization.

38394792374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 38394792374400 in words is "thirty-eight trillion, three hundred ninety-four billion, seven hundred ninety-two million, three hundred seventy-four thousand, four hundred".