3960760608 has 288 divisors, whose sum is σ = 13683720960. Its totient is φ = 1062512640.

The previous prime is 3960760607. The next prime is 3960760613. The reversal of 3960760608 is 8060670693.

3960760608 is a `hidden beast` number, since 39 + 6 + 0 + 7 + 6 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3960760603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2162253 + ... + 2164083.

It is an arithmetic number, because the mean of its divisors is an integer number (47512920).

Almost surely, 2^3960760608 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 3960760608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841860480).

3960760608 is an abundant number, since it is smaller than the sum of its proper divisors (9722960352).

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

3960760608 is a wasteful number, since it uses less digits than its factorization.

3960760608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3960760608 is about 62934.5740273182. The cubic root of 3960760608 is about 1582.1932644490.

The spelling of 3960760608 in words is "three billion, nine hundred sixty million, seven hundred sixty thousand, six hundred eight".