3140964864 has 200 divisors, whose sum is σ = 9558523260. Its totient is φ = 1026514944.

The previous prime is 3140964851. The next prime is 3140964943. The reversal of 3140964864 is 4684690413.

It can be written as a sum of positive squares in 2 ways, for example, as 3073593600 + 67371264 = 55440^2 + 8208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2197302 + ... + 2198730.

Almost surely, 2^3140964864 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 3140964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779261630).

3140964864 is an abundant number, since it is smaller than the sum of its proper divisors (6417558396).

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

3140964864 is an equidigital number, since it uses as much as digits as its factorization.

3140964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3140964864 is about 56044.3116114383. The cubic root of 3140964864 is about 1464.4943237997.

The spelling of 3140964864 in words is "three billion, one hundred forty million, nine hundred sixty-four thousand, eight hundred sixty-four".