39968832 has 56 divisors (see below), whose sum is σ = 106984800. Its totient is φ = 13167616.

The previous prime is 39968807. The next prime is 39968833. The reversal of 39968832 is 23886993.

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 (39968833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15919 + ... + 18257.

Almost surely, 2^39968832 is an apocalyptic number.

39968832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492400).

39968832 is an abundant number, since it is smaller than the sum of its proper divisors (67015968).

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

39968832 is a wasteful number, since it uses less digits than its factorization.

39968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2433 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 39968832 is about 6322.0907934006. The cubic root of 39968832 is about 341.9063387034.

The spelling of 39968832 in words is "thirty-nine million, nine hundred sixty-eight thousand, eight hundred thirty-two".