3956517664 has 48 divisors (see below), whose sum is σ = 8505937440. Its totient is φ = 1796636160.

The previous prime is 3956517641. The next prime is 3956517673. The reversal of 3956517664 is 4667156593.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390292 + ... + 400300.

It is an arithmetic number, because the mean of its divisors is an integer number (177207030).

Almost surely, 2^3956517664 is an apocalyptic number.

It is an amenable number.

3956517664 is an abundant number, since it is smaller than the sum of its proper divisors (4549419776).

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

3956517664 is a wasteful number, since it uses less digits than its factorization.

3956517664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11145 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 52.

The square root of 3956517664 is about 62900.8558288359. The cubic root of 3956517664 is about 1581.6280905126.

The spelling of 3956517664 in words is "three billion, nine hundred fifty-six million, five hundred seventeen thousand, six hundred sixty-four".