3209997560896 has 224 divisors, whose sum is σ = 7696143104000. Its totient is φ = 1326451230720.

The previous prime is 3209997560873. The next prime is 3209997560921. The reversal of 3209997560896 is 6980657999023.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 188493310 + ... + 188510338.

Almost surely, 2^{3209997560896} 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 3209997560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848071552000).

3209997560896 is an abundant number, since it is smaller than the sum of its proper divisors (4486145543104).

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

3209997560896 is a wasteful number, since it uses less digits than its factorization.

3209997560896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17370 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 73.

The spelling of 3209997560896 in words is "three trillion, two hundred nine billion, nine hundred ninety-seven million, five hundred sixty thousand, eight hundred ninety-six".