3959145864 has 80 divisors (see below), whose sum is σ = 11199254220. Its totient is φ = 1306627200.

The previous prime is 3959145833. The next prime is 3959145913. The reversal of 3959145864 is 4685419593.

3959145864 is a `hidden beast` number, since 3 + 9 + 59 + 1 + 4 + 586 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2945232900 + 1013912964 = 54270^2 + 31842^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3959145864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35202 + ... + 95694.

Almost surely, 2^3959145864 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 3959145864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599627110).

3959145864 is an abundant number, since it is smaller than the sum of its proper divisors (7240108356).

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

3959145864 is a wasteful number, since it uses less digits than its factorization.

3959145864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60612 (or 60599 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 3959145864 is about 62921.7439682023. The cubic root of 3959145864 is about 1581.9782228949.

The spelling of 3959145864 in words is "three billion, nine hundred fifty-nine million, one hundred forty-five thousand, eight hundred sixty-four".