3783824 has 20 divisors (see below), whose sum is σ = 7998000. Its totient is φ = 1719840.

The previous prime is 3783821. The next prime is 3783827. The reversal of 3783824 is 4283873.

3783824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3783821) and next prime (3783827).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3783821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10574 + ... + 10925.

It is an arithmetic number, because the mean of its divisors is an integer number (399900).

Almost surely, 2^3783824 is an apocalyptic number.

It is an amenable number.

3783824 is an abundant number, since it is smaller than the sum of its proper divisors (4214176).

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

3783824 is a wasteful number, since it uses less digits than its factorization.

3783824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21518 (or 21512 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 3783824 is about 1945.2053876133. The cubic root of 3783824 is about 155.8273347102.

The spelling of 3783824 in words is "three million, seven hundred eighty-three thousand, eight hundred twenty-four".