3231919957968 has 1280 divisors, whose sum is σ = 11395970611200. Its totient is φ = 867041280000.

The previous prime is 3231919957933. The next prime is 3231919958017. The reversal of 3231919957968 is 8697599191323.

3231919957968 is a `hidden beast` number, since 3 + 2 + 31 + 9 + 19 + 9 + 579 + 6 + 8 = 666.

It is a super-2 number, since 2×3231919957968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3231919957896 and 3231919957905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8059650568 + ... + 8059650968.

It is an arithmetic number, because the mean of its divisors is an integer number (8903102040).

Almost surely, 2^{3231919957968} 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 3231919957968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697985305600).

3231919957968 is an abundant number, since it is smaller than the sum of its proper divisors (8164050653232).

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

3231919957968 is a wasteful number, since it uses less digits than its factorization.

3231919957968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its digits is 198404640, while the sum is 72.

The spelling of 3231919957968 in words is "three trillion, two hundred thirty-one billion, nine hundred nineteen million, nine hundred fifty-seven thousand, nine hundred sixty-eight".