3304809300816 has 120 divisors (see below), whose sum is σ = 9286213787136. Its totient is φ = 1097157907200.

The previous prime is 3304809300743. The next prime is 3304809300869. The reversal of 3304809300816 is 6180039084033.

3304809300816 is a `hidden beast` number, since 3 + 3 + 0 + 480 + 93 + 0 + 0 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231049921 + ... + 231064223.

Almost surely, 2^{3304809300816} is an apocalyptic number.

3304809300816 is a gapful number since it is divisible by the number (36) 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 3304809300816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643106893568).

3304809300816 is an abundant number, since it is smaller than the sum of its proper divisors (5981404486320).

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

3304809300816 is a wasteful number, since it uses less digits than its factorization.

3304809300816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20681 (or 20672 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3304809300816 in words is "three trillion, three hundred four billion, eight hundred nine million, three hundred thousand, eight hundred sixteen".