3305268864 has 96 divisors (see below), whose sum is σ = 9528423840. Its totient is φ = 1099768320.

The previous prime is 3305268859. The next prime is 3305268919. The reversal of 3305268864 is 4688625033.

It is a happy number.

3305268864 is a `hidden beast` number, since 3 + 305 + 268 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 724639 + ... + 729185.

It is an arithmetic number, because the mean of its divisors is an integer number (99254415).

Almost surely, 2^3305268864 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 3305268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764211920).

3305268864 is an abundant number, since it is smaller than the sum of its proper divisors (6223154976).

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

3305268864 is a wasteful number, since it uses less digits than its factorization.

3305268864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3305268864 is about 57491.4677495713. The cubic root of 3305268864 is about 1489.5974865770.

The spelling of 3305268864 in words is "three billion, three hundred five million, two hundred sixty-eight thousand, eight hundred sixty-four".