3963114958608 has 480 divisors, whose sum is σ = 12889416024576. Its totient is φ = 1170919286784.

The previous prime is 3963114958567. The next prime is 3963114958619. The reversal of 3963114958608 is 8068594113693.

3963114958608 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 1 + 1 + 49 + 586 + 0 + 8 = 666.

3963114958608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125889366 + ... + 125920842.

Almost surely, 2^{3963114958608} 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 3963114958608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444708012288).

3963114958608 is an abundant number, since it is smaller than the sum of its proper divisors (8926301065968).

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

3963114958608 is a wasteful number, since it uses less digits than its factorization.

3963114958608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31613 (or 31595 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 3963114958608 in words is "three trillion, nine hundred sixty-three billion, one hundred fourteen million, nine hundred fifty-eight thousand, six hundred eight".