3645584 has 10 divisors (see below), whose sum is σ = 7063350. Its totient is φ = 1822784.

The previous prime is 3645581. The next prime is 3645589. The reversal of 3645584 is 4855463.

It can be written as a sum of positive squares in only one way, i.e., 2496400 + 1149184 = 1580^2 + 1072^2 .

It is not an unprimeable number, because it can be changed into a prime (3645581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113909 + ... + 113940.

It is an arithmetic number, because the mean of its divisors is an integer number (706335).

Almost surely, 2^3645584 is an apocalyptic number.

It is an amenable number.

3645584 is a deficient number, since it is larger than the sum of its proper divisors (3417766).

3645584 is a wasteful number, since it uses less digits than its factorization.

3645584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227857 (or 227851 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 3645584 is about 1909.3412476559. The cubic root of 3645584 is about 153.9060539056.

The spelling of 3645584 in words is "three million, six hundred forty-five thousand, five hundred eighty-four".