3581579096832 has 144 divisors (see below), whose sum is σ = 10399800966912. Its totient is φ = 1085221416960.

The previous prime is 3581579096827. The next prime is 3581579096857. The reversal of 3581579096832 is 2386909751853.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164530813 + ... + 164552579.

It is an arithmetic number, because the mean of its divisors is an integer number (72220840048).

Almost surely, 2^{3581579096832} is an apocalyptic number.

3581579096832 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 3581579096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199900483456).

3581579096832 is an abundant number, since it is smaller than the sum of its proper divisors (6818221870080).

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

3581579096832 is a wasteful number, since it uses less digits than its factorization.

3581579096832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41274 (or 41260 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 3581579096832 in words is "three trillion, five hundred eighty-one billion, five hundred seventy-nine million, ninety-six thousand, eight hundred thirty-two".