3618624 has 56 divisors (see below), whose sum is σ = 9802368. Its totient is φ = 1177600.

The previous prime is 3618583. The next prime is 3618631. The reversal of 3618624 is 4268163.

3618624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3618591 and 3618600.

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 7 ways as a sum of consecutive naturals, for example, 8824 + ... + 9224.

Almost surely, 2^3618624 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 3618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901184).

3618624 is an abundant number, since it is smaller than the sum of its proper divisors (6183744).

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

3618624 is a wasteful number, since it uses less digits than its factorization.

3618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3618624 is about 1902.2681199032. The cubic root of 3618624 is about 153.5257236366.

The spelling of 3618624 in words is "three million, six hundred eighteen thousand, six hundred twenty-four".