3944 has 16 divisors (see below), whose sum is σ = 8100. Its totient is φ = 1792.

The previous prime is 3943. The next prime is 3947. The reversal of 3944 is 4493.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 100 = 62^2 + 10^2 .

It is a d-powerful number, because it can be written as 3⁷ + 4 + 9³ + 4⁵ .

Its product of digits (432) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 5, base 12 and base 15.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3943) 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, 122 + ... + 150.

2³⁹⁴⁴ is an apocalyptic number.

3944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3944 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (4050).

3944 is a wasteful number, since it uses less digits than its factorization.

3944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 48 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 3944 is about 62.8012738724. The cubic root of 3944 is about 15.7995833891.

The spelling of 3944 in words is "three thousand, nine hundred forty-four".