3304959408 has 180 divisors, whose sum is σ = 10116154360. Its totient is φ = 1043041536.

The previous prime is 3304959379. The next prime is 3304959491. The reversal of 3304959408 is 8049594033.

It is a happy number.

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, 1993716 + ... + 1995372.

Almost surely, 2^3304959408 is an apocalyptic number.

3304959408 is a gapful number since it is divisible by the number (38) 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 3304959408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058077180).

3304959408 is an abundant number, since it is smaller than the sum of its proper divisors (6811194952).

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

3304959408 is an equidigital number, since it uses as much as digits as its factorization.

3304959408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3304959408 is about 57488.7763654785. The cubic root of 3304959408 is about 1489.5509972408.

The spelling of 3304959408 in words is "three billion, three hundred four million, nine hundred fifty-nine thousand, four hundred eight".