38918894400 has 126 divisors (see below), whose sum is σ = 138326991062. Its totient is φ = 10378368000.

The previous prime is 38918894387. The next prime is 38918894431. The reversal of 38918894400 is 449881983.

38918894400 is a `hidden beast` number, since 38 + 91 + 8 + 89 + 440 + 0 = 666.

38918894400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1332542016 + 37586352384 = 36504^2 + 193872^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1336951 + ... + 1365750.

Almost surely, 2^38918894400 is an apocalyptic number.

38918894400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38918894400 is an abundant number, since it is smaller than the sum of its proper divisors (99408096662).

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

38918894400 is a wasteful number, since it uses less digits than its factorization.

38918894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702729 (or 2702711 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 38918894400 in words is "thirty-eight billion, nine hundred eighteen million, eight hundred ninety-four thousand, four hundred".