38404398188800 has 864 divisors, whose sum is σ = 123135818803200. Its totient is φ = 11541186478080.

The previous prime is 38404398188759. The next prime is 38404398188813. The reversal of 38404398188800 is 888189340483.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853731109 + ... + 853776091.

It is an arithmetic number, because the mean of its divisors is an integer number (142518308800).

Almost surely, 2^{38404398188800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38404398188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61567909401600).

38404398188800 is an abundant number, since it is smaller than the sum of its proper divisors (84731420614400).

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

38404398188800 is a wasteful number, since it uses less digits than its factorization.

38404398188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45111 (or 45092 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 64.

The spelling of 38404398188800 in words is "thirty-eight trillion, four hundred four billion, three hundred ninety-eight million, one hundred eighty-eight thousand, eight hundred".