3957610608 has 480 divisors, whose sum is σ = 14156093952. Its totient is φ = 1006387200.

The previous prime is 3957610603. The next prime is 3957610609. The reversal of 3957610608 is 8060167593.

It is a happy number.

3957610608 is a `hidden beast` number, since 3 + 9 + 576 + 10 + 60 + 8 = 666.

3957610608 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957610603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30210703 + ... + 30210833.

Almost surely, 2^3957610608 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 3957610608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078046976).

3957610608 is an abundant number, since it is smaller than the sum of its proper divisors (10198483344).

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

3957610608 is a wasteful number, since it uses less digits than its factorization.

3957610608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3957610608 is about 62909.5430598570. The cubic root of 3957610608 is about 1581.7737128276.

The spelling of 3957610608 in words is "three billion, nine hundred fifty-seven million, six hundred ten thousand, six hundred eight".