3600042185728 has 352 divisors, whose sum is σ = 8071937392640. Its totient is φ = 1597740318720.

The previous prime is 3600042185717. The next prime is 3600042185741. The reversal of 3600042185728 is 8275812400063.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 3293725150 + ... + 3293726242.

It is an arithmetic number, because the mean of its divisors is an integer number (22931640320).

Almost surely, 2^{3600042185728} is an apocalyptic number.

3600042185728 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 3600042185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035968696320).

3600042185728 is an abundant number, since it is smaller than the sum of its proper divisors (4471895206912).

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

3600042185728 is a wasteful number, since it uses less digits than its factorization.

3600042185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 3600042185728 in words is "three trillion, six hundred billion, forty-two million, one hundred eighty-five thousand, seven hundred twenty-eight".