3641436560 has 20 divisors (see below), whose sum is σ = 8466340188. Its totient is φ = 1456574592.

The previous prime is 3641436529. The next prime is 3641436563. The reversal of 3641436560 is 656341463.

It can be written as a sum of positive squares in 2 ways, for example, as 2145912976 + 1495523584 = 46324^2 + 38672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×3641436560³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3641436563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22758899 + ... + 22759058.

Almost surely, 2^3641436560 is an apocalyptic number.

It is an amenable number.

3641436560 is an abundant number, since it is smaller than the sum of its proper divisors (4824903628).

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

3641436560 is a wasteful number, since it uses less digits than its factorization.

3641436560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45517970 (or 45517964 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 3641436560 is about 60344.3167166553. The cubic root of 3641436560 is about 1538.4766743588.

The spelling of 3641436560 in words is "three billion, six hundred forty-one million, four hundred thirty-six thousand, five hundred sixty".