39432768 has 56 divisors (see below), whose sum is σ = 106131360. Its totient is φ = 12921472.

The previous prime is 39432749. The next prime is 39432773. The reversal of 39432768 is 86723493.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=236.

Its product of digits (217728) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668323 + ... + 668381.

Almost surely, 2^39432768 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 39432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53065680).

39432768 is an abundant number, since it is smaller than the sum of its proper divisors (66698592).

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

39432768 is an frugal number, since it uses more digits than its factorization.

39432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 64 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 39432768 is about 6279.5515763468. The cubic root of 39432768 is about 340.3708985925.

The spelling of 39432768 in words is "thirty-nine million, four hundred thirty-two thousand, seven hundred sixty-eight".