3364368000 has 1024 divisors, whose sum is σ = 14664499200. Its totient is φ = 663552000.

The previous prime is 3364367989. The next prime is 3364368013. The reversal of 3364368000 is 8634633.

It is a super-2 number, since 2×3364368000² = 22637944078848000000, 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 127 ways as a sum of consecutive naturals, for example, 108527985 + ... + 108528015.

It is an arithmetic number, because the mean of its divisors is an integer number (14320800).

Almost surely, 2^3364368000 is an apocalyptic number.

3364368000 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 3364368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332249600).

3364368000 is an abundant number, since it is smaller than the sum of its proper divisors (11300131200).

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

3364368000 is a wasteful number, since it uses less digits than its factorization.

3364368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3364368000 is about 58003.1723270374. The cubic root of 3364368000 is about 1498.4232320048.

The spelling of 3364368000 in words is "three billion, three hundred sixty-four million, three hundred sixty-eight thousand".