3600289566720 has 2496 divisors, whose sum is σ = 16486635110400. Its totient is φ = 719644262400.

The previous prime is 3600289566707. The next prime is 3600289566733. The reversal of 3600289566720 is 276659820063.

3600289566720 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 2 + 8 + 9 + 566 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3600289566707) and next prime (3600289566733).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21558620077 + ... + 21558620243.

It is an arithmetic number, because the mean of its divisors is an integer number (6605222400).

Almost surely, 2^{3600289566720} is an apocalyptic number.

3600289566720 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 3600289566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243317555200).

3600289566720 is an abundant number, since it is smaller than the sum of its proper divisors (12886345543680).

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

3600289566720 is a wasteful number, since it uses less digits than its factorization.

3600289566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3600289566720 in words is "three trillion, six hundred billion, two hundred eighty-nine million, five hundred sixty-six thousand, seven hundred twenty".