39125631204 has 297 divisors, whose sum is σ = 116023278441. Its totient is φ = 11535812640.

The previous prime is 39125631199. The next prime is 39125631263. The reversal of 39125631204 is 40213652193.

The square root of 39125631204 is 197802.

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

39125631204 is a `hidden beast` number, since 3 + 9 + 12 + 5 + 631 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35010152100 + 4115479104 = 187110^2 + 64152^2 .

It is a tau number, because it is divible by the number of its divisors (297).

It is a super-2 number, since 2×39125631204² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1057449474 + ... + 1057449510.

Almost surely, 2^39125631204 is an apocalyptic number.

39125631204 is the 197802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39125631204

39125631204 is an abundant number, since it is smaller than the sum of its proper divisors (76897647237).

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

39125631204 is an equidigital number, since it uses as much as digits as its factorization.

39125631204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 39125631204 by its sum of digits (36), we get a square (1408522723344 = 1186812²).

39125631204 divided by its sum of digits (36) gives a square (1086823089 = 32967²).

The spelling of 39125631204 in words is "thirty-nine billion, one hundred twenty-five million, six hundred thirty-one thousand, two hundred four".