3221917446272 has 128 divisors (see below), whose sum is σ = 7583603744640. Its totient is φ = 1334803857408.

The previous prime is 3221917446247. The next prime is 3221917446299. The reversal of 3221917446272 is 2726447191223.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3221917446272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3306158 + ... + 4168274.

It is an arithmetic number, because the mean of its divisors is an integer number (59246904255).

Almost surely, 2^{3221917446272} is an apocalyptic number.

3221917446272 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 3221917446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791801872320).

3221917446272 is an abundant number, since it is smaller than the sum of its proper divisors (4361686298368).

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

3221917446272 is an equidigital number, since it uses as much as digits as its factorization.

3221917446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862278 (or 862266 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 50.

The spelling of 3221917446272 in words is "three trillion, two hundred twenty-one billion, nine hundred seventeen million, four hundred forty-six thousand, two hundred seventy-two".