39288864 has 24 divisors (see below), whose sum is σ = 103133520. Its totient is φ = 13096256.

The previous prime is 39288863. The next prime is 39288869. The reversal of 39288864 is 46888293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×39288864² = 3087229668820992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (39288863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204534 + ... + 204725.

It is an arithmetic number, because the mean of its divisors is an integer number (4297230).

Almost surely, 2^39288864 is an apocalyptic number.

It is an amenable number.

39288864 is an abundant number, since it is smaller than the sum of its proper divisors (63844656).

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

39288864 is a wasteful number, since it uses less digits than its factorization.

39288864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409272 (or 409264 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 39288864 is about 6268.0829605231. The cubic root of 39288864 is about 339.9563496442.

The spelling of 39288864 in words is "thirty-nine million, two hundred eighty-eight thousand, eight hundred sixty-four".