39960384 has 56 divisors (see below), whose sum is σ = 110337600. Its totient is φ = 12739584.

The previous prime is 39960383. The next prime is 39960391. The reversal of 39960384 is 48306993.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39960383) 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, 109 + ... + 8940.

Almost surely, 2^39960384 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 39960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55168800).

39960384 is an abundant number, since it is smaller than the sum of its proper divisors (70377216).

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

39960384 is a wasteful number, since it uses less digits than its factorization.

39960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 39960384 is about 6321.4226246945. The cubic root of 39960384 is about 341.8822480296.

The spelling of 39960384 in words is "thirty-nine million, nine hundred sixty thousand, three hundred eighty-four".