3643417561 has 16 divisors (see below), whose sum is σ = 4398592000. Its totient is φ = 2948079888.

The previous prime is 3643417537. The next prime is 3643417567. The reversal of 3643417561 is 1657143463.

3643417561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3643417561 - 2⁹ = 3643417049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3643417567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10761 + ... + 86038.

It is an arithmetic number, because the mean of its divisors is an integer number (274912000).

Almost surely, 2^3643417561 is an apocalyptic number.

It is an amenable number.

3643417561 is a deficient number, since it is larger than the sum of its proper divisors (755174439).

3643417561 is a wasteful number, since it uses less digits than its factorization.

3643417561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97108.

The product of its digits is 181440, while the sum is 40.

The square root of 3643417561 is about 60360.7286321164. The cubic root of 3643417561 is about 1538.7556092678.

The spelling of 3643417561 in words is "three billion, six hundred forty-three million, four hundred seventeen thousand, five hundred sixty-one".