3988680 has 64 divisors (see below), whose sum is σ = 12260160. Its totient is φ = 1037568.

The previous prime is 3988679. The next prime is 3988681. The reversal of 3988680 is 868893.

It is an interprime number because it is at equal distance from previous prime (3988679) and next prime (3988681).

It is not an unprimeable number, because it can be changed into a prime (3988681) 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, 4774 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (191565).

Almost surely, 2^3988680 is an apocalyptic number.

3988680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130080).

3988680 is an abundant number, since it is smaller than the sum of its proper divisors (8271480).

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

3988680 is a wasteful number, since it uses less digits than its factorization.

3988680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 3988680 is about 1997.1679949368. The cubic root of 3988680 is about 158.5902188824.

The spelling of 3988680 in words is "three million, nine hundred eighty-eight thousand, six hundred eighty".