3642637120 has 56 divisors (see below), whose sum is σ = 8763527304. Its totient is φ = 1442021376.

The previous prime is 3642637109. The next prime is 3642637129. The reversal of 3642637120 is 217362463.

It can be written as a sum of positive squares in 4 ways, for example, as 188018944 + 3454618176 = 13712^2 + 58776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642637129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27637 + ... + 89716.

It is an arithmetic number, because the mean of its divisors is an integer number (156491559).

Almost surely, 2^3642637120 is an apocalyptic number.

It is an amenable number.

3642637120 is an abundant number, since it is smaller than the sum of its proper divisors (5120890184).

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

3642637120 is a wasteful number, since it uses less digits than its factorization.

3642637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117467 (or 117457 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 3642637120 is about 60354.2634782333. The cubic root of 3642637120 is about 1538.6457313209.

Adding to 3642637120 its reverse (217362463), we get a palindrome (3859999583).

The spelling of 3642637120 in words is "three billion, six hundred forty-two million, six hundred thirty-seven thousand, one hundred twenty".