3328616598912 has 512 divisors, whose sum is σ = 10890544896000. Its totient is φ = 992441548800.

The previous prime is 3328616598911. The next prime is 3328616598949. The reversal of 3328616598912 is 2198956168233.

3328616598912 is a `hidden beast` number, since 3 + 3 + 2 + 8 + 616 + 5 + 9 + 8 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×3328616598912² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3328616598912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328616598911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940019862 + ... + 940023402.

It is an arithmetic number, because the mean of its divisors is an integer number (21270595500).

Almost surely, 2^{3328616598912} is an apocalyptic number.

3328616598912 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 3328616598912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445272448000).

3328616598912 is an abundant number, since it is smaller than the sum of its proper divisors (7561928297088).

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

3328616598912 is a wasteful number, since it uses less digits than its factorization.

3328616598912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3949 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 3328616598912 in words is "three trillion, three hundred twenty-eight billion, six hundred sixteen million, five hundred ninety-eight thousand, nine hundred twelve".