3381733324800 has 288 divisors, whose sum is σ = 12421710428400. Its totient is φ = 901795184640.

The previous prime is 3381733324793. The next prime is 3381733324817. The reversal of 3381733324800 is 84233371833.

3381733324800 is a `hidden beast` number, since 33 + 81 + 7 + 33 + 32 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3381733324800² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159262 + ... + 2605538.

Almost surely, 2^{3381733324800} is an apocalyptic number.

3381733324800 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 3381733324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210855214200).

3381733324800 is an abundant number, since it is smaller than the sum of its proper divisors (9039977103600).

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

3381733324800 is a wasteful number, since it uses less digits than its factorization.

3381733324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446318 (or 2446287 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3381733324800 in words is "three trillion, three hundred eighty-one billion, seven hundred thirty-three million, three hundred twenty-four thousand, eight hundred".