3631359768 has 64 divisors (see below), whose sum is σ = 9300357120. Its totient is φ = 1181174400.

The previous prime is 3631359763. The next prime is 3631359769. The reversal of 3631359768 is 8679531363.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3631359768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631359763) 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, 176163 + ... + 195693.

It is an arithmetic number, because the mean of its divisors is an integer number (145318080).

Almost surely, 2^3631359768 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 3631359768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650178560).

3631359768 is an abundant number, since it is smaller than the sum of its proper divisors (5668997352).

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

3631359768 is a wasteful number, since it uses less digits than its factorization.

3631359768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19728 (or 19724 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The square root of 3631359768 is about 60260.7647478855. The cubic root of 3631359768 is about 1537.0562430360.

The spelling of 3631359768 in words is "three billion, six hundred thirty-one million, three hundred fifty-nine thousand, seven hundred sixty-eight".