3221323133292 has 288 divisors, whose sum is σ = 9686591712000. Its totient is φ = 917947514880.

The previous prime is 3221323133279. The next prime is 3221323133293. The reversal of 3221323133292 is 2923313231223.

3221323133292 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 3 + 231 + 332 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3221323133293) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483751459 + ... + 483758117.

It is an arithmetic number, because the mean of its divisors is an integer number (33633999000).

Almost surely, 2^{3221323133292} 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 3221323133292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843295856000).

3221323133292 is an abundant number, since it is smaller than the sum of its proper divisors (6465268578708).

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

3221323133292 is a wasteful number, since it uses less digits than its factorization.

3221323133292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8101 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 3221323133292 in words is "three trillion, two hundred twenty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, two hundred ninety-two".