3601728 has 126 divisors (see below), whose sum is σ = 11481054. Its totient is φ = 1078272.

The previous prime is 3601711. The next prime is 3601729. The reversal of 3601728 is 8271063.

3601728 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 3415104 = 432^2 + 1848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3601729) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 97326 + ... + 97362.

Almost surely, 2^3601728 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 3601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740527).

3601728 is an abundant number, since it is smaller than the sum of its proper divisors (7879326).

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

3601728 is a wasteful number, since it uses less digits than its factorization.

3601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3601728 is about 1897.8219094530. The cubic root of 3601728 is about 153.2864044581.

The spelling of 3601728 in words is "three million, six hundred one thousand, seven hundred twenty-eight".