3386581664 has 24 divisors (see below), whose sum is σ = 6712089300. Its totient is φ = 1681924096.

The previous prime is 3386581657. The next prime is 3386581669. The reversal of 3386581664 is 4661856833.

It can be written as a sum of positive squares in 2 ways, for example, as 3384912400 + 1669264 = 58180^2 + 1292^2 .

It is a super-2 number, since 2×3386581664² = 22937870733882017792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386581669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350369 + ... + 359904.

Almost surely, 2^3386581664 is an apocalyptic number.

It is an amenable number.

3386581664 is a deficient number, since it is larger than the sum of its proper divisors (3325507636).

3386581664 is a wasteful number, since it uses less digits than its factorization.

3386581664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710432 (or 710424 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The square root of 3386581664 is about 58194.3439176008. The cubic root of 3386581664 is about 1501.7138431561.

The spelling of 3386581664 in words is "three billion, three hundred eighty-six million, five hundred eighty-one thousand, six hundred sixty-four".