3643560 has 96 divisors (see below), whose sum is σ = 12285000. Its totient is φ = 935424.

The previous prime is 3643537. The next prime is 3643561. The reversal of 3643560 is 653463.

3643560 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3261636 + 381924 = 1806^2 + 618^2 .

It is not an unprimeable number, because it can be changed into a prime (3643561) 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, 10266 + ... + 10614.

Almost surely, 2^3643560 is an apocalyptic number.

3643560 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 3643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142500).

3643560 is an abundant number, since it is smaller than the sum of its proper divisors (8641440).

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

3643560 is a wasteful number, since it uses less digits than its factorization.

3643560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3643560 is about 1908.8111483329. The cubic root of 3643560 is about 153.8775661499.

The spelling of 3643560 in words is "three million, six hundred forty-three thousand, five hundred sixty".