3306313791144 has 1536 divisors, whose sum is σ = 12275407872000. Its totient is φ = 796675461120.

The previous prime is 3306313791127. The next prime is 3306313791173. The reversal of 3306313791144 is 4411973136033.

3306313791144 is a `hidden beast` number, since 3 + 3 + 0 + 631 + 3 + 7 + 9 + 1 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3306313791144.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20284133607 + ... + 20284133769.

It is an arithmetic number, because the mean of its divisors is an integer number (7991802000).

Almost surely, 2^{3306313791144} 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 3306313791144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137703936000).

3306313791144 is an abundant number, since it is smaller than the sum of its proper divisors (8969094080856).

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

3306313791144 is a wasteful number, since it uses less digits than its factorization.

3306313791144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3306313791144 in words is "three trillion, three hundred six billion, three hundred thirteen million, seven hundred ninety-one thousand, one hundred forty-four".