38692556138400 has 144 divisors (see below), whose sum is σ = 125946762203808. Its totient is φ = 10317810816000.

The previous prime is 38692556138381. The next prime is 38692556138407. The reversal of 38692556138400 is 483165529683.

It is a super-2 number, since 2×38692556138400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (38692556138407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151002390 + ... + 151258410.

It is an arithmetic number, because the mean of its divisors is an integer number (874630293082).

Almost surely, 2^{38692556138400} is an apocalyptic number.

38692556138400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38692556138400 is an abundant number, since it is smaller than the sum of its proper divisors (87254206065408).

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

38692556138400 is a wasteful number, since it uses less digits than its factorization.

38692556138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319015 (or 319002 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 38692556138400 in words is "thirty-eight trillion, six hundred ninety-two billion, five hundred fifty-six million, one hundred thirty-eight thousand, four hundred".