38742400 has 48 divisors (see below), whose sum is σ = 95713740. Its totient is φ = 15495680.

The previous prime is 38742397. The next prime is 38742401. The reversal of 38742400 is 424783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38742401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2854 + ... + 9253.

Almost surely, 2^38742400 is an apocalyptic number.

It is an amenable number.

38742400 is an abundant number, since it is smaller than the sum of its proper divisors (56971340).

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

38742400 is a wasteful number, since it uses less digits than its factorization.

38742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12131 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 38742400 is about 6224.3393223699. The cubic root of 38742400 is about 338.3728481327.

The spelling of 38742400 in words is "thirty-eight million, seven hundred forty-two thousand, four hundred".