3988880 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1284096.

The previous prime is 3988877. The next prime is 3988889. The reversal of 3988880 is 888893.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3988880² = 31822327308800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3988889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9311 + ... + 9729.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^3988880 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 3988880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3988880 is an abundant number, since it is smaller than the sum of its proper divisors (7260400).

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

3988880 is a wasteful number, since it uses less digits than its factorization.

With its successor (3988881) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (450).

3988880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 3988880 is about 1997.2180652097. The cubic root of 3988880 is about 158.5928695099.

The spelling of 3988880 in words is "three million, nine hundred eighty-eight thousand, eight hundred eighty".