3304861560 has 640 divisors, whose sum is σ = 14928883200. Its totient is φ = 633277440.

The previous prime is 3304861543. The next prime is 3304861583. The reversal of 3304861560 is 651684033.

3304861560 is a `hidden beast` number, since 3 + 30 + 4 + 8 + 61 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3242731 + ... + 3243749.

It is an arithmetic number, because the mean of its divisors is an integer number (23326380).

Almost surely, 2^3304861560 is an apocalyptic number.

3304861560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3304861560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464441600).

3304861560 is an abundant number, since it is smaller than the sum of its proper divisors (11624021640).

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

3304861560 is a wasteful number, since it uses less digits than its factorization.

3304861560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3304861560 is about 57487.9253408922. The cubic root of 3304861560 is about 1489.5362970074.

The spelling of 3304861560 in words is "three billion, three hundred four million, eight hundred sixty-one thousand, five hundred sixty".