3645624 has 16 divisors (see below), whose sum is σ = 9114120. Its totient is φ = 1215200.

The previous prime is 3645623. The next prime is 3645643. The reversal of 3645624 is 4265463.

3645624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3¹³ + 6⁶ + 4⁴ + 5⁹ + 6⁶ + 2⁹ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 3645591 and 3645600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645623) 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, 75927 + ... + 75974.

Almost surely, 2^3645624 is an apocalyptic number.

It is an amenable number.

3645624 is an abundant number, since it is smaller than the sum of its proper divisors (5468496).

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

3645624 is a wasteful number, since it uses less digits than its factorization.

3645624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151910 (or 151906 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 3645624 is about 1909.3517224440. The cubic root of 3645624 is about 153.9066167985.

The spelling of 3645624 in words is "three million, six hundred forty-five thousand, six hundred twenty-four".