3296989567872 has 1536 divisors, whose sum is σ = 13989473971200. Its totient is φ = 743868334080.

The previous prime is 3296989567867. The next prime is 3296989567901. The reversal of 3296989567872 is 2787659896923.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 3296989567791 and 3296989567800.

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 191 ways as a sum of consecutive naturals, for example, 529293654 + ... + 529299882.

It is an arithmetic number, because the mean of its divisors is an integer number (9107730450).

Almost surely, 2^{3296989567872} is an apocalyptic number.

3296989567872 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 3296989567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994736985600).

3296989567872 is an abundant number, since it is smaller than the sum of its proper divisors (10692484403328).

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

3296989567872 is a wasteful number, since it uses less digits than its factorization.

3296989567872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306 (or 6282 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 81.

The spelling of 3296989567872 in words is "three trillion, two hundred ninety-six billion, nine hundred eighty-nine million, five hundred sixty-seven thousand, eight hundred seventy-two".