3996 has 24 divisors (see below), whose sum is σ = 10640. Its totient is φ = 1296.

The previous prime is 3989. The next prime is 4001. The reversal of 3996 is 6993.

3996 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 126.

2³⁹⁹⁶ is an apocalyptic number.

3996 is a gapful number since it is divisible by the number (36) 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 3996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320).

3996 is an abundant number, since it is smaller than the sum of its proper divisors (6644).

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

3996 is a wasteful number, since it uses less digits than its factorization.

3996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 42 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 3996 is about 63.2139225171. The cubic root of 3996 is about 15.8687174181.

Subtracting from 3996 its sum of digits (27), we obtain a square (3969 = 63²).

It can be divided in two parts, 3 and 996, that added together give a palindrome (999).

The spelling of 3996 in words is "three thousand, nine hundred ninety-six".