3924 has 18 divisors (see below), whose sum is σ = 10010. Its totient is φ = 1296.

The previous prime is 3923. The next prime is 3929. The reversal of 3924 is 4293.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 324 = 60^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 5 and base 15.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 3897 and 3906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923) 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 5 ways as a sum of consecutive naturals, for example, 19 + ... + 90.

2³⁹²⁴ is an apocalyptic number.

It is an amenable number.

3924 is an abundant number, since it is smaller than the sum of its proper divisors (6086).

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

3924 is a wasteful number, since it uses less digits than its factorization.

3924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 114 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 3924 is about 62.6418390535. The cubic root of 3924 is about 15.7728315882.

It can be divided in two parts, 3 and 924, that multiplied together give a palindrome (2772).

The spelling of 3924 in words is "three thousand, nine hundred twenty-four".