3221643262272 has 112 divisors (see below), whose sum is σ = 8561940338112. Its totient is φ = 1069097287680.

The previous prime is 3221643262249. The next prime is 3221643262273. The reversal of 3221643262272 is 2722623461223.

3221643262272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221643262273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91811643 + ... + 91846725.

It is an arithmetic number, because the mean of its divisors is an integer number (76445895876).

Almost surely, 2^{3221643262272} is an apocalyptic number.

3221643262272 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 3221643262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280970169056).

3221643262272 is an abundant number, since it is smaller than the sum of its proper divisors (5340297075840).

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

3221643262272 is a wasteful number, since it uses less digits than its factorization.

3221643262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37216 (or 37206 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The spelling of 3221643262272 in words is "three trillion, two hundred twenty-one billion, six hundred forty-three million, two hundred sixty-two thousand, two hundred seventy-two".