3564864 has 56 divisors (see below), whose sum is σ = 10485120. Its totient is φ = 1187712.

The previous prime is 3564863. The next prime is 3564871. The reversal of 3564864 is 4684653.

3564864 is a `hidden beast` number, since 3 + 5 + 648 + 6 + 4 = 666.

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

It is a d-powerful number, because it can be written as 3¹¹ + 5⁹ + 6⁵ + 4⁸ + 8⁵ + 6⁷ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697 + ... + 2759.

Almost surely, 2^3564864 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 3564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242560).

3564864 is an abundant number, since it is smaller than the sum of its proper divisors (6920256).

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

3564864 is a wasteful number, since it uses less digits than its factorization.

3564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2068 counting only the distinct ones).

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

The square root of 3564864 is about 1888.0847438608. The cubic root of 3564864 is about 152.7616434703.

The spelling of 3564864 in words is "three million, five hundred sixty-four thousand, eight hundred sixty-four".