3600725216000 has 288 divisors, whose sum is σ = 9820890031680. Its totient is φ = 1304592384000.

The previous prime is 3600725215961. The next prime is 3600725216021. The reversal of 3600725216000 is 6125270063.

It is a super-2 number, since 2×3600725216000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97485536 + ... + 97522464.

It is an arithmetic number, because the mean of its divisors is an integer number (34100312610).

Almost surely, 2^{3600725216000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3600725216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910445015840).

3600725216000 is an abundant number, since it is smaller than the sum of its proper divisors (6220164815680).

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

3600725216000 is a wasteful number, since it uses less digits than its factorization.

3600725216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37248 (or 37224 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 3600725216000 in words is "three trillion, six hundred billion, seven hundred twenty-five million, two hundred sixteen thousand".