3563364 has 48 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 999456.

The previous prime is 3563341. The next prime is 3563377. The reversal of 3563364 is 4633653.

It is a d-powerful number, because it can be written as 3³ + 5⁹ + 6⁴ + 3⁸ + 3¹³ + 6⁵ + 4⁴ .

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 15 ways as a sum of consecutive naturals, for example, 4597 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 2^3563364 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 3563364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3563364 is an abundant number, since it is smaller than the sum of its proper divisors (6113436).

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

3563364 is a wasteful number, since it uses less digits than its factorization.

3563364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

The square root of 3563364 is about 1887.6874741334. The cubic root of 3563364 is about 152.7402144517.

The spelling of 3563364 in words is "three million, five hundred sixty-three thousand, three hundred sixty-four".