3368315664 has 600 divisors, whose sum is σ = 12315283200. Its totient is φ = 883975680.

The previous prime is 3368315659. The next prime is 3368315719. The reversal of 3368315664 is 4665138633.

3368315664 is a `hidden beast` number, since 3 + 3 + 6 + 83 + 1 + 566 + 4 = 666.

It is a super-2 number, since 2×3368315664² = 22691100824695521792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57090067 + ... + 57090125.

It is an arithmetic number, because the mean of its divisors is an integer number (20525472).

Almost surely, 2^3368315664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157641600).

3368315664 is an abundant number, since it is smaller than the sum of its proper divisors (8946967536).

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

3368315664 is a wasteful number, since it uses less digits than its factorization.

3368315664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3368315664 is about 58037.1920754269. The cubic root of 3368315664 is about 1499.0090735206.

The spelling of 3368315664 in words is "three billion, three hundred sixty-eight million, three hundred fifteen thousand, six hundred sixty-four".