3322225331200 has 264 divisors, whose sum is σ = 8690649365520. Its totient is φ = 1255735296000.

The previous prime is 3322225331149. The next prime is 3322225331231. The reversal of 3322225331200 is 21335222233.

It is a happy number.

It is a super-2 number, since 2×3322225331200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195037884 + ... + 195054916.

Almost surely, 2^{3322225331200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322225331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345324682760).

3322225331200 is an abundant number, since it is smaller than the sum of its proper divisors (5368424034320).

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

3322225331200 is a wasteful number, since it uses less digits than its factorization.

3322225331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17483 (or 17460 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The spelling of 3322225331200 in words is "three trillion, three hundred twenty-two billion, two hundred twenty-five million, three hundred thirty-one thousand, two hundred".