3967755168 has 192 divisors, whose sum is σ = 11601418752. Its totient is φ = 1179601920.

The previous prime is 3967755167. The next prime is 3967755227. The reversal of 3967755168 is 8615577693.

It is not an unprimeable number, because it can be changed into a prime (3967755167) by changing a digit.

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, 5741703 + ... + 5742393.

It is an arithmetic number, because the mean of its divisors is an integer number (60424056).

Almost surely, 2^3967755168 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 3967755168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800709376).

3967755168 is an abundant number, since it is smaller than the sum of its proper divisors (7633663584).

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

3967755168 is a wasteful number, since it uses less digits than its factorization.

3967755168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 859 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 57.

The square root of 3967755168 is about 62990.1196061732. The cubic root of 3967755168 is about 1583.1240820963.

The spelling of 3967755168 in words is "three billion, nine hundred sixty-seven million, seven hundred fifty-five thousand, one hundred sixty-eight".