3641560 has 64 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1307136.

The previous prime is 3641551. The next prime is 3641563. The reversal of 3641560 is 651463.

3641560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641563) 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 15 ways as a sum of consecutive naturals, for example, 24366 + ... + 24514.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 2^3641560 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 3641560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

3641560 is an abundant number, since it is smaller than the sum of its proper divisors (5430440).

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

3641560 is a wasteful number, since it uses less digits than its factorization.

3641560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3641560 is about 1908.2871901263. The cubic root of 3641560 is about 153.8494058287.

The spelling of 3641560 in words is "three million, six hundred forty-one thousand, five hundred sixty".