3998120 has 64 divisors (see below), whose sum is σ = 10454400. Its totient is φ = 1347840.

The previous prime is 3998119. The next prime is 3998131. The reversal of 3998120 is 218993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30455 + ... + 30585.

It is an arithmetic number, because the mean of its divisors is an integer number (163350).

Almost surely, 2^3998120 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 3998120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227200).

3998120 is an abundant number, since it is smaller than the sum of its proper divisors (6456280).

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

3998120 is a wasteful number, since it uses less digits than its factorization.

3998120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 3998120 is about 1999.5299447620. The cubic root of 3998120 is about 158.7152320165.

The spelling of 3998120 in words is "three million, nine hundred ninety-eight thousand, one hundred twenty".