3442481816576 has 176 divisors, whose sum is σ = 8095077990720. Its totient is φ = 1446248448000.

The previous prime is 3442481816507. The next prime is 3442481816581. The reversal of 3442481816576 is 6756181842443.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8578496 + ... + 8970816.

Almost surely, 2^{3442481816576} 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 3442481816576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047538995360).

3442481816576 is an abundant number, since it is smaller than the sum of its proper divisors (4652596174144).

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

3442481816576 is a wasteful number, since it uses less digits than its factorization.

3442481816576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392412 (or 392394 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 59.

The spelling of 3442481816576 in words is "three trillion, four hundred forty-two billion, four hundred eighty-one million, eight hundred sixteen thousand, five hundred seventy-six".