38640384 has 108 divisors (see below), whose sum is σ = 115216192. Its totient is φ = 12441600.

The previous prime is 38640377. The next prime is 38640403. The reversal of 38640384 is 48304683.

38640384 is a `hidden beast` number, since 3 + 8 + 640 + 3 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71154 + ... + 71694.

Almost surely, 2^38640384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57608096).

38640384 is an abundant number, since it is smaller than the sum of its proper divisors (76575808).

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

38640384 is a wasteful number, since it uses less digits than its factorization.

38640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38640384 is about 6216.1389945850. The cubic root of 38640384 is about 338.0755873573.

The spelling of 38640384 in words is "thirty-eight million, six hundred forty thousand, three hundred eighty-four".