3114375264 has 576 divisors, whose sum is σ = 12307438080. Its totient is φ = 744007680.

The previous prime is 3114375263. The next prime is 3114375269. The reversal of 3114375264 is 4625734113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114375263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11243094 + ... + 11243370.

It is an arithmetic number, because the mean of its divisors is an integer number (21367080).

Almost surely, 2^3114375264 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 3114375264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153719040).

3114375264 is an abundant number, since it is smaller than the sum of its proper divisors (9193062816).

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

3114375264 is a wasteful number, since it uses less digits than its factorization.

3114375264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 313 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3114375264 is about 55806.5879981925. The cubic root of 3114375264 is about 1460.3500855609.

The spelling of 3114375264 in words is "three billion, one hundred fourteen million, three hundred seventy-five thousand, two hundred sixty-four".