3968271058728 has 64 divisors (see below), whose sum is σ = 10458811425600. Its totient is φ = 1251219087360.

The previous prime is 3968271058727. The next prime is 3968271058733. The reversal of 3968271058728 is 8278501728693.

It is not an unprimeable number, because it can be changed into a prime (3968271058727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6365593 + ... + 6961128.

It is an arithmetic number, because the mean of its divisors is an integer number (163418928525).

Almost surely, 2^{3968271058728} is an apocalyptic number.

3968271058728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3968271058728 is an abundant number, since it is smaller than the sum of its proper divisors (6490540366872).

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

3968271058728 is a wasteful number, since it uses less digits than its factorization.

3968271058728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13327402 (or 13327398 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 3968271058728 in words is "three trillion, nine hundred sixty-eight billion, two hundred seventy-one million, fifty-eight thousand, seven hundred twenty-eight".