3946656564 has 36 divisors (see below), whose sum is σ = 9979020324. Its totient is φ = 1315189632.

The previous prime is 3946656551. The next prime is 3946656583. The reversal of 3946656564 is 4656566493.

3946656564 is a `hidden beast` number, since 39 + 46 + 6 + 5 + 6 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1944810000 + 2001846564 = 44100^2 + 44742^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3946656564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138814 + ... + 164810.

It is an arithmetic number, because the mean of its divisors is an integer number (277195009).

Almost surely, 2^3946656564 is an apocalyptic number.

It is an amenable number.

3946656564 is an abundant number, since it is smaller than the sum of its proper divisors (6032363760).

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

3946656564 is a wasteful number, since it uses less digits than its factorization.

3946656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30224 (or 30219 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The square root of 3946656564 is about 62822.4208702594. The cubic root of 3946656564 is about 1580.3129973300.

The spelling of 3946656564 in words is "three billion, nine hundred forty-six million, six hundred fifty-six thousand, five hundred sixty-four".