3824 has 10 divisors (see below), whose sum is σ = 7440. Its totient is φ = 1904.

The previous prime is 3823. The next prime is 3833. The reversal of 3824 is 4283.

It is a plaindrome in base 12 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3824.

It is not an unprimeable number, because it can be changed into a prime (3821) 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 as a sum of consecutive naturals, namely, 104 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (744).

2³⁸²⁴ is an apocalyptic number.

It is an amenable number.

3824 is a deficient number, since it is larger than the sum of its proper divisors (3616).

3824 is a wasteful number, since it uses less digits than its factorization.

3824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 3824 is about 61.8384993350. The cubic root of 3824 is about 15.6376910226.

The spelling of 3824 in words is "three thousand, eight hundred twenty-four".