3813624 has 24 divisors (see below), whose sum is σ = 10328760. Its totient is φ = 1271184.

The previous prime is 3813619. The next prime is 3813631. The reversal of 3813624 is 4263183.

It is a happy number.

3813624 is a `hidden beast` number, since 38 + 1 + 3 + 624 = 666.

3813624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 26412 + ... + 26555.

It is an arithmetic number, because the mean of its divisors is an integer number (430365).

Almost surely, 2^3813624 is an apocalyptic number.

It is an amenable number.

3813624 is an abundant number, since it is smaller than the sum of its proper divisors (6515136).

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

3813624 is a wasteful number, since it uses less digits than its factorization.

3813624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52979 (or 52972 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3813624 is about 1952.8502246716. The cubic root of 3813624 is about 156.2353449722.

It can be divided in two parts, 381 and 3624, that added together give a triangular number (4005 = T₈₉).

The spelling of 3813624 in words is "three million, eight hundred thirteen thousand, six hundred twenty-four".