3957891768 has 128 divisors (see below), whose sum is σ = 11427840000. Its totient is φ = 1267850880.

The previous prime is 3957891757. The next prime is 3957891793. The reversal of 3957891768 is 8671987593.

3957891768 is a `hidden beast` number, since 395 + 78 + 9 + 176 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995721 + ... + 999687.

It is an arithmetic number, because the mean of its divisors is an integer number (89280000).

Almost surely, 2^3957891768 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 3957891768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920000).

3957891768 is an abundant number, since it is smaller than the sum of its proper divisors (7469948232).

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

3957891768 is a wasteful number, since it uses less digits than its factorization.

3957891768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4152 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The square root of 3957891768 is about 62911.7776572877. Note that the first 3 decimals coincide. The cubic root of 3957891768 is about 1581.8111698533.

The spelling of 3957891768 in words is "three billion, nine hundred fifty-seven million, eight hundred ninety-one thousand, seven hundred sixty-eight".