3304289664 has 384 divisors, whose sum is σ = 10946819520. Its totient is φ = 948879360.

The previous prime is 3304289647. The next prime is 3304289669. The reversal of 3304289664 is 4669824033.

3304289664 is a `hidden beast` number, since 3 + 304 + 289 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3304289669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18255654 + ... + 18255834.

Almost surely, 2^3304289664 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 3304289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473409760).

3304289664 is an abundant number, since it is smaller than the sum of its proper divisors (7642529856).

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

3304289664 is a wasteful number, since it uses less digits than its factorization.

3304289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3304289664 is about 57482.9510724702. The cubic root of 3304289664 is about 1489.4503721785.

The spelling of 3304289664 in words is "three billion, three hundred four million, two hundred eighty-nine thousand, six hundred sixty-four".