3956009616784 has 135 divisors (see below), whose sum is σ = 8020140559011. Its totient is φ = 1890318988800.

The previous prime is 3956009616707. The next prime is 3956009616791. The reversal of 3956009616784 is 4876169006593.

The square root of 3956009616784 is 1988972.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59838944400 + 3896170672384 = 244620^2 + 1973872^2 .

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, 26198739109 + ... + 26198739259.

Almost surely, 2^{3956009616784} is an apocalyptic number.

3956009616784 is the 1988972-nd square number.

It is an amenable number.

3956009616784 is an abundant number, since it is smaller than the sum of its proper divisors (4064130942227).

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

3956009616784 is an frugal number, since it uses more digits than its factorization.

3956009616784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 3956009616784 by its sum of digits (64), we get a square (253184615474176 = 15911776²).

The spelling of 3956009616784 in words is "three trillion, nine hundred fifty-six billion, nine million, six hundred sixteen thousand, seven hundred eighty-four".