3623824 has 20 divisors (see below), whose sum is σ = 7054236. Its totient is φ = 1803392.

The previous prime is 3623821. The next prime is 3623861. The reversal of 3623824 is 4283263.

3623824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1849600 + 1774224 = 1360^2 + 1332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3623792 and 3623801.

It is not an unprimeable number, because it can be changed into a prime (3623821) 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, 4302 + ... + 5074.

Almost surely, 2^3623824 is an apocalyptic number.

It is an amenable number.

3623824 is a deficient number, since it is larger than the sum of its proper divisors (3430412).

3623824 is a wasteful number, since it uses less digits than its factorization.

3623824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 3623824 is about 1903.6344186844. The cubic root of 3623824 is about 153.5992277884.

It can be divided in two parts, 362 and 3824, that added together give a triangular number (4186 = T₉₁).

The spelling of 3623824 in words is "three million, six hundred twenty-three thousand, eight hundred twenty-four".