38920694400 has 960 divisors, whose sum is σ = 172936104000. Its totient is φ = 8420474880.

The previous prime is 38920694377. The next prime is 38920694437. The reversal of 38920694400 is 449602983.

38920694400 is a `hidden beast` number, since 38 + 9 + 206 + 9 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34473036 + ... + 34474164.

It is an arithmetic number, because the mean of its divisors is an integer number (180141775).

Almost surely, 2^38920694400 is an apocalyptic number.

38920694400 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 38920694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86468052000).

38920694400 is an abundant number, since it is smaller than the sum of its proper divisors (134015409600).

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

38920694400 is a wasteful number, since it uses less digits than its factorization.

38920694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38920694400 in words is "thirty-eight billion, nine hundred twenty million, six hundred ninety-four thousand, four hundred".