3988960 has 48 divisors (see below), whose sum is σ = 9552816. Its totient is φ = 1573888.

The previous prime is 3988909. The next prime is 3988961. The reversal of 3988960 is 698893.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17004 + ... + 17236.

It is an arithmetic number, because the mean of its divisors is an integer number (199017).

Almost surely, 2^3988960 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 3988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776408).

3988960 is an abundant number, since it is smaller than the sum of its proper divisors (5563856).

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

3988960 is a wasteful number, since it uses less digits than its factorization.

3988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 3988960 is about 1997.2380929674. The cubic root of 3988960 is about 158.5939297360.

The spelling of 3988960 in words is "three million, nine hundred eighty-eight thousand, nine hundred sixty".