3968068608 has 528 divisors, whose sum is σ = 14281509600. Its totient is φ = 1083801600.

The previous prime is 3968068553. The next prime is 3968068609. The reversal of 3968068608 is 8068608693.

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

It is not an unprimeable number, because it can be changed into a prime (3968068609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39287758 + ... + 39287858.

Almost surely, 2^3968068608 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 3968068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140754800).

3968068608 is an abundant number, since it is smaller than the sum of its proper divisors (10313440992).

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

3968068608 is a wasteful number, since it uses less digits than its factorization.

3968068608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3968068608 is about 62992.6075662851. The cubic root of 3968068608 is about 1583.1657682493.

The spelling of 3968068608 in words is "three billion, nine hundred sixty-eight million, sixty-eight thousand, six hundred eight".