3304716800 has 360 divisors, whose sum is σ = 10412012160. Its totient is φ = 1027891200.

The previous prime is 3304716773. The next prime is 3304716829. The reversal of 3304716800 is 86174033.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6898961 + ... + 6899439.

It is an arithmetic number, because the mean of its divisors is an integer number (28922256).

Almost surely, 2^3304716800 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 3304716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206006080).

3304716800 is an abundant number, since it is smaller than the sum of its proper divisors (7107295360).

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

3304716800 is a wasteful number, since it uses less digits than its factorization.

3304716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3304716800 is about 57486.6662801036. Note that the first 3 decimals coincide. The cubic root of 3304716800 is about 1489.5145483987.

The spelling of 3304716800 in words is "three billion, three hundred four million, seven hundred sixteen thousand, eight hundred".