3373303966800 has 240 divisors, whose sum is σ = 10976911331520. Its totient is φ = 885328773120.

The previous prime is 3373303966777. The next prime is 3373303966829. The reversal of 3373303966800 is 86693033733.

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

It is a super-2 number, since 2×3373303966800² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92683006 + ... + 92719394.

It is an arithmetic number, because the mean of its divisors is an integer number (45737130548).

Almost surely, 2^{3373303966800} is an apocalyptic number.

3373303966800 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 3373303966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488455665760).

3373303966800 is an abundant number, since it is smaller than the sum of its proper divisors (7603607364720).

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

3373303966800 is a wasteful number, since it uses less digits than its factorization.

3373303966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37630 (or 37619 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 51.

The spelling of 3373303966800 in words is "three trillion, three hundred seventy-three billion, three hundred three million, nine hundred sixty-six thousand, eight hundred".