3631587960 has 512 divisors, whose sum is σ = 14950656000. Its totient is φ = 695439360.

The previous prime is 3631587941. The next prime is 3631587961. The reversal of 3631587960 is 697851363.

It is a happy number.

3631587960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3631587960² = 26376862222433923200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631587961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5885572 + ... + 5886188.

It is an arithmetic number, because the mean of its divisors is an integer number (29200500).

Almost surely, 2^3631587960 is an apocalyptic number.

3631587960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3631587960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475328000).

3631587960 is an abundant number, since it is smaller than the sum of its proper divisors (11319068040).

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

3631587960 is a wasteful number, since it uses less digits than its factorization.

3631587960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 3631587960 is about 60262.6580894006. The cubic root of 3631587960 is about 1537.0884381928.

The spelling of 3631587960 in words is "three billion, six hundred thirty-one million, five hundred eighty-seven thousand, nine hundred sixty".