3350933417328 has 120 divisors (see below), whose sum is σ = 10074142959120. Its totient is φ = 957005844480.

The previous prime is 3350933417311. The next prime is 3350933417329. The reversal of 3350933417328 is 8237143390533.

It is a super-2 number, since 2×3350933417328² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3350933417329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5300928 + ... + 5899296.

It is an arithmetic number, because the mean of its divisors is an integer number (83951191326).

Almost surely, 2^{3350933417328} 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 3350933417328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037071479560).

3350933417328 is an abundant number, since it is smaller than the sum of its proper divisors (6723209541792).

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

3350933417328 is a wasteful number, since it uses less digits than its factorization.

3350933417328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600775 (or 600762 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 3350933417328 in words is "three trillion, three hundred fifty billion, nine hundred thirty-three million, four hundred seventeen thousand, three hundred twenty-eight".