3309304320 has 720 divisors, whose sum is σ = 14110132608. Its totient is φ = 701890560.

The previous prime is 3309304253. The next prime is 3309304333. The reversal of 3309304320 is 234039033.

3309304320 is a `hidden beast` number, since 3 + 30 + 9 + 304 + 320 = 666.

3309304320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46609885 + ... + 46609955.

Almost surely, 2^3309304320 is an apocalyptic number.

3309304320 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 3309304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055066304).

3309304320 is an abundant number, since it is smaller than the sum of its proper divisors (10800828288).

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

3309304320 is a wasteful number, since it uses less digits than its factorization.

3309304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3309304320 is about 57526.5531732955. The cubic root of 3309304320 is about 1490.2034645501.

The spelling of 3309304320 in words is "three billion, three hundred nine million, three hundred four thousand, three hundred twenty".