3231375952896 has 704 divisors, whose sum is σ = 11887246694400. Its totient is φ = 844340723712.

The previous prime is 3231375952891. The next prime is 3231375952967. The reversal of 3231375952896 is 6982595731323.

It is a happy number.

3231375952896 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 37 + 595 + 2 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3231375952891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274234621 + ... + 274246403.

It is an arithmetic number, because the mean of its divisors is an integer number (16885293600).

Almost surely, 2^{3231375952896} is an apocalyptic number.

3231375952896 is a gapful number since it is divisible by the number (36) 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 3231375952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943623347200).

3231375952896 is an abundant number, since it is smaller than the sum of its proper divisors (8655870741504).

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

3231375952896 is a wasteful number, since it uses less digits than its factorization.

3231375952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11941 (or 11917 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 3231375952896 in words is "three trillion, two hundred thirty-one billion, three hundred seventy-five million, nine hundred fifty-two thousand, eight hundred ninety-six".