3880 has 16 divisors (see below), whose sum is σ = 8820. Its totient is φ = 1536.

The previous prime is 3877. The next prime is 3881. The reversal of 3880 is 883.

3880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 36 = 62^2 + 6^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 88.

2³⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

3880 is an abundant number, since it is smaller than the sum of its proper divisors (4940).

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 (4410).

3880 is a wasteful number, since it uses less digits than its factorization.

3880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 3880 is about 62.2896460096. The cubic root of 3880 is about 15.7136560157.

The spelling of 3880 in words is "three thousand, eight hundred eighty".