3330313320320 has 512 divisors, whose sum is σ = 9434913177600. Its totient is φ = 1100582461440.

The previous prime is 3330313320289. The next prime is 3330313320331. The reversal of 3330313320320 is 230233130333.

It is a super-2 number, since 2×3330313320320² (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 3330313320320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6782715275 + ... + 6782715765.

It is an arithmetic number, because the mean of its divisors is an integer number (18427564800).

Almost surely, 2^{3330313320320} 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 3330313320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717456588800).

3330313320320 is an abundant number, since it is smaller than the sum of its proper divisors (6104599857280).

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

3330313320320 is a wasteful number, since it uses less digits than its factorization.

3330313320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 3330313320320 its reverse (230233130333), we get a palindrome (3560546450653).

The spelling of 3330313320320 in words is "three trillion, three hundred thirty billion, three hundred thirteen million, three hundred twenty thousand, three hundred twenty".