3114052907328 has 896 divisors, whose sum is σ = 10779678720000. Its totient is φ = 871071252480.

The previous prime is 3114052907291. The next prime is 3114052907333. The reversal of 3114052907328 is 8237092504113.

It is a happy number.

3114052907328 is a `hidden beast` number, since 3 + 11 + 40 + 529 + 0 + 73 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5080020750 + ... + 5080021362.

Almost surely, 2^{3114052907328} 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 3114052907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389839360000).

3114052907328 is an abundant number, since it is smaller than the sum of its proper divisors (7665625812672).

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

3114052907328 is a wasteful number, since it uses less digits than its factorization.

3114052907328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3114052907328 in words is "three trillion, one hundred fourteen billion, fifty-two million, nine hundred seven thousand, three hundred twenty-eight".