39640013604 has 81 divisors (see below), whose sum is σ = 104134480177. Its totient is φ = 13202586576.

The previous prime is 39640013599. The next prime is 39640013639. The reversal of 39640013604 is 40631004693.

The square root of 39640013604 is 199098.

It is a perfect power (a square), and thus also a powerful number.

39640013604 is a `hidden beast` number, since 3 + 9 + 6 + 40 + 0 + 1 + 3 + 604 = 666.

39640013604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39125631204 + 514382400 = 197802^2 + 22680^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32253262 + ... + 32254490.

Almost surely, 2^39640013604 is an apocalyptic number.

39640013604 is the 199098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39640013604

39640013604 is an abundant number, since it is smaller than the sum of its proper divisors (64494466573).

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

39640013604 is an frugal number, since it uses more digits than its factorization.

39640013604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 39640013604 by its sum of digits (36), we get a square (1427040489744 = 1194588²).

39640013604 divided by its sum of digits (36) gives a square (1101111489 = 33183²).

The spelling of 39640013604 in words is "thirty-nine billion, six hundred forty million, thirteen thousand, six hundred four".