39968800 has 72 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 15632640.

The previous prime is 39968771. The next prime is 39968807. The reversal of 39968800 is 886993.

It is not an unprimeable number, because it can be changed into a prime (39968807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37069 + ... + 38131.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^39968800 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 39968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

39968800 is an abundant number, since it is smaller than the sum of its proper divisors (59774816).

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

39968800 is a wasteful number, since it uses less digits than its factorization.

39968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 39968800 is about 6322.0882625917. The cubic root of 39968800 is about 341.9062474572.

The spelling of 39968800 in words is "thirty-nine million, nine hundred sixty-eight thousand, eight hundred".