3218590080160 has 576 divisors, whose sum is σ = 9870998256000. Its totient is φ = 982374801408.

The previous prime is 3218590080109. The next prime is 3218590080169. The reversal of 3218590080160 is 610800958123.

3218590080160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3218590080169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318698791 + ... + 318708889.

It is an arithmetic number, because the mean of its divisors is an integer number (17137149750).

Almost surely, 2^{3218590080160} 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 3218590080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935499128000).

3218590080160 is an abundant number, since it is smaller than the sum of its proper divisors (6652408175840).

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

3218590080160 is a wasteful number, since it uses less digits than its factorization.

3218590080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10253 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 3218590080160 in words is "three trillion, two hundred eighteen billion, five hundred ninety million, eighty thousand, one hundred sixty".