3643505320 has 128 divisors (see below), whose sum is σ = 10113143040. Its totient is φ = 1150433280.

The previous prime is 3643505317. The next prime is 3643505321. The reversal of 3643505320 is 235053463.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3643505321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2077564 + ... + 2079316.

It is an arithmetic number, because the mean of its divisors is an integer number (79008930).

Almost surely, 2^3643505320 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 3643505320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056571520).

3643505320 is an abundant number, since it is smaller than the sum of its proper divisors (6469637720).

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

3643505320 is a wasteful number, since it uses less digits than its factorization.

3643505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

The square root of 3643505320 is about 60361.4555821842. The cubic root of 3643505320 is about 1538.7679638376.

Adding to 3643505320 its reverse (235053463), we get a palindrome (3878558783).

The spelling of 3643505320 in words is "three billion, six hundred forty-three million, five hundred five thousand, three hundred twenty".