3983168 has 56 divisors (see below), whose sum is σ = 9582912. Its totient is φ = 1603584.

The previous prime is 3983153. The next prime is 3983197. The reversal of 3983168 is 8613893.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7355 + ... + 7877.

Almost surely, 2^3983168 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 3983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791456).

3983168 is an abundant number, since it is smaller than the sum of its proper divisors (5599744).

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

3983168 is a wasteful number, since it uses less digits than its factorization.

3983168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 3983168 is about 1995.7875638454. The cubic root of 3983168 is about 158.5171326934.

The spelling of 3983168 in words is "three million, nine hundred eighty-three thousand, one hundred sixty-eight".