3959360064 has 126 divisors (see below), whose sum is σ = 12474510230. Its totient is φ = 1199784960.

The previous prime is 3959360051. The next prime is 3959360077. The reversal of 3959360064 is 4600639593.

It is a happy number.

3959360064 is a `hidden beast` number, since 39 + 5 + 9 + 3 + 600 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3959360051) and next prime (3959360077).

It can be written as a sum of positive squares in only one way, i.e., 2061886464 + 1897473600 = 45408^2 + 43560^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41292 + ... + 98100.

Almost surely, 2^3959360064 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 3959360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237255115).

3959360064 is an abundant number, since it is smaller than the sum of its proper divisors (8515150166).

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

3959360064 is a wasteful number, since it uses less digits than its factorization.

3959360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56849 (or 56825 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3959360064 is about 62923.4460594777. The cubic root of 3959360064 is about 1582.0067520807.

The spelling of 3959360064 in words is "three billion, nine hundred fifty-nine million, three hundred sixty thousand, sixty-four".