3988160 has 84 divisors (see below), whose sum is σ = 10539984. Its totient is φ = 1436160.

The previous prime is 3988151. The next prime is 3988213. The reversal of 3988160 is 618893.

3988160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3988160.

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, 38669 + ... + 38771.

It is an arithmetic number, because the mean of its divisors is an integer number (125476).

Almost surely, 2^3988160 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 3988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269992).

3988160 is an abundant number, since it is smaller than the sum of its proper divisors (6551824).

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

3988160 is a wasteful number, since it uses less digits than its factorization.

3988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 3988160 is about 1997.0378063522. The cubic root of 3988160 is about 158.5833268365.

It can be divided in two parts, 398 and 8160, that added together give a palindrome (8558).

The spelling of 3988160 in words is "three million, nine hundred eighty-eight thousand, one hundred sixty".