3582564 has 36 divisors (see below), whose sum is σ = 8833104. Its totient is φ = 1129968.

The previous prime is 3582559. The next prime is 3582611. The reversal of 3582564 is 4652853.

3582564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3919 + ... + 4745.

It is an arithmetic number, because the mean of its divisors is an integer number (245364).

Almost surely, 2^3582564 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 3582564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416552).

3582564 is an abundant number, since it is smaller than the sum of its proper divisors (5250540).

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

3582564 is a wasteful number, since it uses less digits than its factorization.

3582564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 851 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 3582564 is about 1892.7662296227. The cubic root of 3582564 is about 153.0140531327.

The spelling of 3582564 in words is "three million, five hundred eighty-two thousand, five hundred sixty-four".