3564660 has 72 divisors (see below), whose sum is σ = 10993248. Its totient is φ = 862400.

The previous prime is 3564643. The next prime is 3564661. The reversal of 3564660 is 664653.

3564660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564661) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7015 + ... + 7505.

It is an arithmetic number, because the mean of its divisors is an integer number (152684).

Almost surely, 2^3564660 is an apocalyptic number.

3564660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496624).

3564660 is an abundant number, since it is smaller than the sum of its proper divisors (7428588).

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

3564660 is a wasteful number, since it uses less digits than its factorization.

3564660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3564660 is about 1888.0307200891. The cubic root of 3564660 is about 152.7587294770.

It can be divided in two parts, 3564 and 660, that added together give a palindrome (4224).

The spelling of 3564660 in words is "three million, five hundred sixty-four thousand, six hundred sixty".