3582445841296 has 160 divisors (see below), whose sum is σ = 8133379430400. Its totient is φ = 1497092889600.

The previous prime is 3582445841291. The next prime is 3582445841329. The reversal of 3582445841296 is 6921485442853.

It is not an unprimeable number, because it can be changed into a prime (3582445841291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209209791 + ... + 209226913.

It is an arithmetic number, because the mean of its divisors is an integer number (50833621440).

Almost surely, 2^{3582445841296} 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 3582445841296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066689715200).

3582445841296 is an abundant number, since it is smaller than the sum of its proper divisors (4550933589104).

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

3582445841296 is a wasteful number, since it uses less digits than its factorization.

3582445841296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17517 (or 17511 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 61.

The spelling of 3582445841296 in words is "three trillion, five hundred eighty-two billion, four hundred forty-five million, eight hundred forty-one thousand, two hundred ninety-six".