3605824 has 28 divisors (see below), whose sum is σ = 7237984. Its totient is φ = 1782144.

The previous prime is 3605821. The next prime is 3605837. The reversal of 3605824 is 4285063.

It is an Ulam number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 3605792 and 3605801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6319 + ... + 6865.

Almost surely, 2^3605824 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 3605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618992).

3605824 is an abundant number, since it is smaller than the sum of its proper divisors (3632160).

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

3605824 is a wasteful number, since it uses less digits than its factorization.

3605824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3605824 is about 1898.9007346357. The cubic root of 3605824 is about 153.3444898415.

The spelling of 3605824 in words is "three million, six hundred five thousand, eight hundred twenty-four".