3927168 has 96 divisors (see below), whose sum is σ = 12941760. Its totient is φ = 1119744.

The previous prime is 3927139. The next prime is 3927197. The reversal of 3927168 is 8617293.

3927168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3927139) and next prime (3927197).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7821 + ... + 8307.

It is an arithmetic number, because the mean of its divisors is an integer number (134810).

Almost surely, 2^3927168 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 3927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470880).

3927168 is an abundant number, since it is smaller than the sum of its proper divisors (9014592).

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

3927168 is a wasteful number, since it uses less digits than its factorization.

3927168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3927168 is about 1981.7083539209. The cubic root of 3927168 is about 157.7707512281.

It can be divided in two parts, 3927 and 168, that added together give a triangular number (4095 = T₉₀).

The spelling of 3927168 in words is "three million, nine hundred twenty-seven thousand, one hundred sixty-eight".