3664584 has 96 divisors (see below), whose sum is σ = 12392640. Its totient is φ = 950400.

The previous prime is 3664561. The next prime is 3664631. The reversal of 3664584 is 4854663.

3664584 is a `hidden beast` number, since 3 + 6 + 645 + 8 + 4 = 666.

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

It is an Ulam 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 23 ways as a sum of consecutive naturals, for example, 5214 + ... + 5874.

It is an arithmetic number, because the mean of its divisors is an integer number (129090).

Almost surely, 2^3664584 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 3664584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196320).

3664584 is an abundant number, since it is smaller than the sum of its proper divisors (8728056).

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

3664584 is a wasteful number, since it uses less digits than its factorization.

3664584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3664584 is about 1914.3103196713. The cubic root of 3664584 is about 154.1729658330.

It can be divided in two parts, 366 and 4584, that added together give a triangular number (4950 = T₉₉).

The spelling of 3664584 in words is "three million, six hundred sixty-four thousand, five hundred eighty-four".