3631188960 has 192 divisors, whose sum is σ = 14524876800. Its totient is φ = 829979136.

The previous prime is 3631188949. The next prime is 3631188983. The reversal of 3631188960 is 698811363.

It is a happy number.

3631188960 is a `hidden beast` number, since 3 + 631 + 1 + 8 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 29800 + ... + 90279.

It is an arithmetic number, because the mean of its divisors is an integer number (75650400).

Almost surely, 2^3631188960 is an apocalyptic number.

3631188960 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 3631188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262438400).

3631188960 is an abundant number, since it is smaller than the sum of its proper divisors (10893687840).

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

3631188960 is a wasteful number, since it uses less digits than its factorization.

3631188960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120110 (or 120096 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3631188960 is about 60259.3474906591. The cubic root of 3631188960 is about 1537.0321431913.

The spelling of 3631188960 in words is "three billion, six hundred thirty-one million, one hundred eighty-eight thousand, nine hundred sixty".