3314334093312 has 832 divisors, whose sum is σ = 10319999477760. Its totient is φ = 936679833600.

The previous prime is 3314334093293. The next prime is 3314334093331. The reversal of 3314334093312 is 2133904334133.

It is an interprime number because it is at equal distance from previous prime (3314334093293) and next prime (3314334093331).

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, 19846311853 + ... + 19846312019.

Almost surely, 2^{3314334093312} is an apocalyptic number.

3314334093312 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 3314334093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159999738880).

3314334093312 is an abundant number, since it is smaller than the sum of its proper divisors (7005665384448).

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

3314334093312 is a wasteful number, since it uses less digits than its factorization.

3314334093312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 39.

The spelling of 3314334093312 in words is "three trillion, three hundred fourteen billion, three hundred thirty-four million, ninety-three thousand, three hundred twelve".