3600816768 has 256 divisors, whose sum is σ = 11341584000. Its totient is φ = 1135420416.

The previous prime is 3600816731. The next prime is 3600816797. The reversal of 3600816768 is 8676180063.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5318446 + ... + 5319122.

Almost surely, 2^3600816768 is an apocalyptic number.

3600816768 is a gapful number since it is divisible by the number (38) 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 3600816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670792000).

3600816768 is an abundant number, since it is smaller than the sum of its proper divisors (7740767232).

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

3600816768 is an frugal number, since it uses more digits than its factorization.

3600816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3600816768 is about 60006.8060139848. The cubic root of 3600816768 is about 1532.7347628786.

The spelling of 3600816768 in words is "three billion, six hundred million, eight hundred sixteen thousand, seven hundred sixty-eight".