3305855904 has 384 divisors, whose sum is σ = 10668672000. Its totient is φ = 885178368.

The previous prime is 3305855893. The next prime is 3305855929. The reversal of 3305855904 is 4095585033.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23783067 + ... + 23783205.

It is an arithmetic number, because the mean of its divisors is an integer number (27783000).

Almost surely, 2^3305855904 is an apocalyptic number.

3305855904 is a gapful number since it is divisible by the number (34) 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 3305855904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336000).

3305855904 is an abundant number, since it is smaller than the sum of its proper divisors (7362816096).

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

3305855904 is a wasteful number, since it uses less digits than its factorization.

3305855904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 3305855904 is about 57496.5729761348. The cubic root of 3305855904 is about 1489.6856691707.

The spelling of 3305855904 in words is "three billion, three hundred five million, eight hundred fifty-five thousand, nine hundred four".