3358368115200 has 2160 divisors, whose sum is σ = 15024533546880. Its totient is φ = 711717027840.

The previous prime is 3358368115189. The next prime is 3358368115237. The reversal of 3358368115200 is 25118638533.

3358368115200 is a `hidden beast` number, since 3 + 3 + 58 + 3 + 68 + 11 + 520 + 0 = 666.

It is a super-3 number, since 3×3358368115200³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7580966179 + ... + 7580966621.

It is an arithmetic number, because the mean of its divisors is an integer number (6955802568).

Almost surely, 2^{3358368115200} is an apocalyptic number.

3358368115200 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 3358368115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512266773440).

3358368115200 is an abundant number, since it is smaller than the sum of its proper divisors (11666165431680).

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

3358368115200 is a wasteful number, since it uses less digits than its factorization.

3358368115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3358368115200 in words is "three trillion, three hundred fifty-eight billion, three hundred sixty-eight million, one hundred fifteen thousand, two hundred".