3564264 has 64 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1031360.

The previous prime is 3564259. The next prime is 3564283. The reversal of 3564264 is 4624653.

3564264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3¹³ + 5⁹ + 6³ + 4⁶ + 2¹³ + 6³ + 4⁶ .

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 15 ways as a sum of consecutive naturals, for example, 5779 + ... + 6365.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^3564264 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 3564264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3564264 is an abundant number, since it is smaller than the sum of its proper divisors (6596376).

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

3564264 is a wasteful number, since it uses less digits than its factorization.

3564264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 3564264 is about 1887.9258460014. The cubic root of 3564264 is about 152.7530725843.

It can be divided in two parts, 3564 and 264, that added together give a triangular number (3828 = T₈₇).

The spelling of 3564264 in words is "three million, five hundred sixty-four thousand, two hundred sixty-four".