3357569664 has 128 divisors (see below), whose sum is σ = 10008648000. Its totient is φ = 1107993600.

The previous prime is 3357569659. The next prime is 3357569671. The reversal of 3357569664 is 4669657533.

3357569664 is a `hidden beast` number, since 3 + 3 + 575 + 6 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3357569664² = 22546548097226145792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3357569664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344247 + ... + 353865.

Almost surely, 2^3357569664 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 3357569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004324000).

3357569664 is an abundant number, since it is smaller than the sum of its proper divisors (6651078336).

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

3357569664 is a wasteful number, since it uses less digits than its factorization.

3357569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743 (or 9725 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The square root of 3357569664 is about 57944.5395529208. The cubic root of 3357569664 is about 1497.4132697820.

The spelling of 3357569664 in words is "three billion, three hundred fifty-seven million, five hundred sixty-nine thousand, six hundred sixty-four".