3336581368800 has 216 divisors, whose sum is σ = 11914553982240. Its totient is φ = 878492160000.

The previous prime is 3336581368793. The next prime is 3336581368819. The reversal of 3336581368800 is 88631856333.

It is a happy number.

It is a super-2 number, since 2×3336581368800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2364201 + ... + 3501800.

It is an arithmetic number, because the mean of its divisors is an integer number (55159972140).

Almost surely, 2^{3336581368800} is an apocalyptic number.

3336581368800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3336581368800 is an abundant number, since it is smaller than the sum of its proper divisors (8577972613440).

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

3336581368800 is a wasteful number, since it uses less digits than its factorization.

3336581368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866106 (or 5866090 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3336581368800 in words is "three trillion, three hundred thirty-six billion, five hundred eighty-one million, three hundred sixty-eight thousand, eight hundred".