3345392109312 has 1080 divisors, whose sum is σ = 11734112074608. Its totient is φ = 943915991040.

The previous prime is 3345392109259. The next prime is 3345392109341. The reversal of 3345392109312 is 2139012935433.

3345392109312 is a `hidden beast` number, since 3 + 3 + 4 + 539 + 2 + 10 + 93 + 12 = 666.

It is a super-2 number, since 2×3345392109312² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4563972498 + ... + 4563973230.

Almost surely, 2^{3345392109312} is an apocalyptic number.

3345392109312 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 3345392109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867056037304).

3345392109312 is an abundant number, since it is smaller than the sum of its proper divisors (8388719965296).

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

3345392109312 is a wasteful number, since it uses less digits than its factorization.

3345392109312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 3345392109312 in words is "three trillion, three hundred forty-five billion, three hundred ninety-two million, one hundred nine thousand, three hundred twelve".