3644784 has 160 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1002240.

The previous prime is 3644761. The next prime is 3644791. The reversal of 3644784 is 4874463.

3644784 is a `hidden beast` number, since 3 + 644 + 7 + 8 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 61747 + ... + 61805.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^3644784 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 3644784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3644784 is an abundant number, since it is smaller than the sum of its proper divisors (8854416).

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

3644784 is a wasteful number, since it uses less digits than its factorization.

3644784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3644784 is about 1909.1317398231. The cubic root of 3644784 is about 153.8947951836.

The spelling of 3644784 in words is "three million, six hundred forty-four thousand, seven hundred eighty-four".