3980 has 12 divisors (see below), whose sum is σ = 8400. Its totient is φ = 1584.

The previous prime is 3967. The next prime is 3989. The reversal of 3980 is 893.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 199 = 3980 / (3 + 9 + 8 + 0).

It is a plaindrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (700).

2³⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

3980 is an abundant number, since it is smaller than the sum of its proper divisors (4420).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200).

3980 is a wasteful number, since it uses less digits than its factorization.

3980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3980 is about 63.0872411824. The cubic root of 3980 is about 15.8475096181.

The spelling of 3980 in words is "three thousand, nine hundred eighty".