3601600 has 42 divisors (see below), whose sum is σ = 8866124. Its totient is φ = 1440000.

The previous prime is 3601589. The next prime is 3601607. The reversal of 3601600 is 61063.

It is a happy number.

3601600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3601607) 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 5 ways as a sum of consecutive naturals, for example, 475 + ... + 2725.

Almost surely, 2^3601600 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 3601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433062).

3601600 is an abundant number, since it is smaller than the sum of its proper divisors (5264524).

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

3601600 is a wasteful number, since it uses less digits than its factorization.

3601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3601600 is about 1897.7881862842. The cubic root of 3601600 is about 153.2845885804.

Adding to 3601600 its reverse (61063), we get a palindrome (3662663).

The spelling of 3601600 in words is "three million, six hundred one thousand, six hundred".