38406301568400 has 60 divisors (see below), whose sum is σ = 123028186027952. Its totient is φ = 10241680417920.

The previous prime is 38406301568377. The next prime is 38406301568407. The reversal of 38406301568400 is 486510360483.

38406301568400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38406301568400.

It is not an unprimeable number, because it can be changed into a prime (38406301568407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16002624454 + ... + 16002626853.

Almost surely, 2^{38406301568400} is an apocalyptic number.

38406301568400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38406301568400 is an abundant number, since it is smaller than the sum of its proper divisors (84621884459552).

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

38406301568400 is a wasteful number, since it uses less digits than its factorization.

38406301568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32005251328 (or 32005251317 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 38406301568400 in words is "thirty-eight trillion, four hundred six billion, three hundred one million, five hundred sixty-eight thousand, four hundred".