3312108576 has 576 divisors, whose sum is σ = 12258812160. Its totient is φ = 851005440.

The previous prime is 3312108571. The next prime is 3312108599. The reversal of 3312108576 is 6758012133.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3312108576.

It is not an unprimeable number, because it can be changed into a prime (3312108571) 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, 80783116 + ... + 80783156.

It is an arithmetic number, because the mean of its divisors is an integer number (21282660).

Almost surely, 2^3312108576 is an apocalyptic number.

3312108576 is a gapful number since it is divisible by the number (36) 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 3312108576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129406080).

3312108576 is an abundant number, since it is smaller than the sum of its proper divisors (8946703584).

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

3312108576 is a wasteful number, since it uses less digits than its factorization.

3312108576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3312108576 is about 57550.9215912308. The cubic root of 3312108576 is about 1490.6242712389.

The spelling of 3312108576 in words is "three billion, three hundred twelve million, one hundred eight thousand, five hundred seventy-six".