3990168 has 192 divisors, whose sum is σ = 14364000. Its totient is φ = 1016064.

The previous prime is 3990157. The next prime is 3990169. The reversal of 3990168 is 8610993.

3990168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990169) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 137578 + ... + 137606.

Almost surely, 2^3990168 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 3990168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182000).

3990168 is an abundant number, since it is smaller than the sum of its proper divisors (10373832).

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

3990168 is a wasteful number, since it uses less digits than its factorization.

3990168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3990168 is about 1997.5404876998. The cubic root of 3990168 is about 158.6099374282.

The spelling of 3990168 in words is "three million, nine hundred ninety thousand, one hundred sixty-eight".