3585744 has 60 divisors (see below), whose sum is σ = 10321636. Its totient is φ = 1161216.

The previous prime is 3585733. The next prime is 3585749. The reversal of 3585744 is 4475853.

3585744 is a `hidden beast` number, since 3 + 585 + 74 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 1299600 = 1512^2 + 1140^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3585699 and 3585708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3585749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4992 + ... + 5664.

Almost surely, 2^3585744 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 3585744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160818).

3585744 is an abundant number, since it is smaller than the sum of its proper divisors (6735892).

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

3585744 is a wasteful number, since it uses less digits than its factorization.

3585744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 715 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 3585744 is about 1893.6060836404. The cubic root of 3585744 is about 153.0593131560.

The spelling of 3585744 in words is "three million, five hundred eighty-five thousand, seven hundred forty-four".