3681168000 has 256 divisors, whose sum is σ = 12441911040. Its totient is φ = 962457600.

The previous prime is 3681167969. The next prime is 3681168013. The reversal of 3681168000 is 8611863.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543277 + ... + 2544723.

It is an arithmetic number, because the mean of its divisors is an integer number (48601215).

Almost surely, 2^3681168000 is an apocalyptic number.

3681168000 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 3681168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220955520).

3681168000 is an abundant number, since it is smaller than the sum of its proper divisors (8760743040).

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

3681168000 is a wasteful number, since it uses less digits than its factorization.

3681168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 3681168000 is about 60672.6297435672. The cubic root of 3681168000 is about 1544.0518475256.

Adding to 3681168000 its reverse (8611863), we get a palindrome (3689779863).

The spelling of 3681168000 in words is "three billion, six hundred eighty-one million, one hundred sixty-eight thousand".