3114923328 has 336 divisors, whose sum is σ = 10441716480. Its totient is φ = 884674560.

The previous prime is 3114923269. The next prime is 3114923341. The reversal of 3114923328 is 8233294113.

3114923328 is a `hidden beast` number, since 311 + 4 + 9 + 2 + 332 + 8 = 666.

3114923328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3114923292 and 3114923301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13033033 + ... + 13033271.

Almost surely, 2^3114923328 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 3114923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220858240).

3114923328 is an abundant number, since it is smaller than the sum of its proper divisors (7326793152).

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

3114923328 is a wasteful number, since it uses less digits than its factorization.

3114923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 272 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3114923328 is about 55811.4981701800. The cubic root of 3114923328 is about 1460.4357440849.

The spelling of 3114923328 in words is "three billion, one hundred fourteen million, nine hundred twenty-three thousand, three hundred twenty-eight".