3272231293128 has 288 divisors, whose sum is σ = 10709020179000. Its totient is φ = 898932142080.

The previous prime is 3272231293109. The next prime is 3272231293153. The reversal of 3272231293128 is 8213921322723.

3272231293128 is a `hidden beast` number, since 3 + 2 + 7 + 2 + 231 + 293 + 128 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3236048405604 + 36182887524 = 1798902^2 + 190218^2 .

It is a super-2 number, since 2×3272231293128² (a number of 26 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 24590838 + ... + 24723546.

Almost surely, 2^{3272231293128} 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 3272231293128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354510089500).

3272231293128 is an abundant number, since it is smaller than the sum of its proper divisors (7436788885872).

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

3272231293128 is a wasteful number, since it uses less digits than its factorization.

3272231293128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133005 (or 132991 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 3272231293128 in words is "three trillion, two hundred seventy-two billion, two hundred thirty-one million, two hundred ninety-three thousand, one hundred twenty-eight".