39388960 has 96 divisors (see below), whose sum is σ = 103829040. Its totient is φ = 14020608.

The previous prime is 39388891. The next prime is 39388963. The reversal of 39388960 is 6988393.

It can be written as a sum of positive squares in 8 ways, for example, as 5702544 + 33686416 = 2388^2 + 5804^2 .

It is a super-3 number, since 3×39388960³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39388960.

It is not an unprimeable number, because it can be changed into a prime (39388963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59994 + ... + 60646.

Almost surely, 2^39388960 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 39388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51914520).

39388960 is an abundant number, since it is smaller than the sum of its proper divisors (64440080).

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

39388960 is a wasteful number, since it uses less digits than its factorization.

39388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 39388960 is about 6276.0624598549. The cubic root of 39388960 is about 340.2448063915.

The spelling of 39388960 in words is "thirty-nine million, three hundred eighty-eight thousand, nine hundred sixty".