3612624 has 40 divisors (see below), whose sum is σ = 9469632. Its totient is φ = 1186560.

The previous prime is 3612613. The next prime is 3612659. The reversal of 3612624 is 4262163.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 3612594 and 3612603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2989 + ... + 4019.

Almost surely, 2^3612624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3612624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734816).

3612624 is an abundant number, since it is smaller than the sum of its proper divisors (5857008).

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

3612624 is a wasteful number, since it uses less digits than its factorization.

3612624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3612624 is about 1900.6904008807. The cubic root of 3612624 is about 153.4408236000.

Adding to 3612624 its reverse (4262163), we get a palindrome (7874787).

The spelling of 3612624 in words is "three million, six hundred twelve thousand, six hundred twenty-four".