3600729538560 has 2304 divisors, whose sum is σ = 16617872476800. Its totient is φ = 724067942400.

The previous prime is 3600729538543. The next prime is 3600729538597. The reversal of 3600729538560 is 658359270063.

It is a happy number.

3600729538560 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 7 + 29 + 53 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3600729538497 and 3600729538506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116152565745 + ... + 116152565775.

Almost surely, 2^{3600729538560} is an apocalyptic number.

3600729538560 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 3600729538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8308936238400).

3600729538560 is an abundant number, since it is smaller than the sum of its proper divisors (13017142938240).

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

3600729538560 is an equidigital number, since it uses as much as digits as its factorization.

3600729538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3600729538560 in words is "three trillion, six hundred billion, seven hundred twenty-nine million, five hundred thirty-eight thousand, five hundred sixty".