3984 has 20 divisors (see below), whose sum is σ = 10416. Its totient is φ = 1312.

The previous prime is 3967. The next prime is 3989. The reversal of 3984 is 4893.

3984 is nontrivially palindromic in base 11.

3984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3989) 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, 7 + ... + 89.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208).

3984 is an abundant number, since it is smaller than the sum of its proper divisors (6432).

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

3984 is a wasteful number, since it uses less digits than its factorization.

3984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3984 is about 63.1189353522. The cubic root of 3984 is about 15.8528168890.

Subtracting 3984 from its reverse (4893), we obtain a palindrome (909).

The spelling of 3984 in words is "three thousand, nine hundred eighty-four".