3222345756672 has 1664 divisors, whose sum is σ = 12239162572800. Its totient is φ = 816965222400.

The previous prime is 3222345756661. The next prime is 3222345756701. The reversal of 3222345756672 is 2766575432223.

3222345756672 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 3 + 4 + 5 + 7 + 566 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16870920097 + ... + 16870920287.

Almost surely, 2^{3222345756672} is an apocalyptic number.

3222345756672 is a gapful number since it is divisible by the number (32) 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 3222345756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119581286400).

3222345756672 is an abundant number, since it is smaller than the sum of its proper divisors (9016816816128).

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

3222345756672 is a wasteful number, since it uses less digits than its factorization.

3222345756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 290 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 3222345756672 in words is "three trillion, two hundred twenty-two billion, three hundred forty-five million, seven hundred fifty-six thousand, six hundred seventy-two".