3386304000 has 240 divisors, whose sum is σ = 12198906720. Its totient is φ = 902860800.

The previous prime is 3386303993. The next prime is 3386304029. The reversal of 3386304000 is 4036833.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3386304000² = 22934109560832000000, which contains 22 as substring.

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, 573061 + ... + 578939.

It is an arithmetic number, because the mean of its divisors is an integer number (50828778).

Almost surely, 2^3386304000 is an apocalyptic number.

3386304000 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 3386304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099453360).

3386304000 is an abundant number, since it is smaller than the sum of its proper divisors (8812602720).

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

3386304000 is an equidigital number, since it uses as much as digits as its factorization.

3386304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3386304000 is about 58191.9582072987. The cubic root of 3386304000 is about 1501.6728004656.

The spelling of 3386304000 in words is "three billion, three hundred eighty-six million, three hundred four thousand".