3304087718400 has 2880 divisors, whose sum is σ = 15145113984000. Its totient is φ = 711082229760.

The previous prime is 3304087718387. The next prime is 3304087718423. The reversal of 3304087718400 is 48177804033.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20270476719 + ... + 20270476881.

Almost surely, 2^{3304087718400} is an apocalyptic number.

3304087718400 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 3304087718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572556992000).

3304087718400 is an abundant number, since it is smaller than the sum of its proper divisors (11841026265600).

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

3304087718400 is an equidigital number, since it uses as much as digits as its factorization.

3304087718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3304087718400 in words is "three trillion, three hundred four billion, eighty-seven million, seven hundred eighteen thousand, four hundred".