3601200 has 60 divisors (see below), whose sum is σ = 11539688. Its totient is φ = 960000.

The previous prime is 3601193. The next prime is 3601211. The reversal of 3601200 is 21063.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301 + ... + 2700.

Almost surely, 2^3601200 is an apocalyptic number.

3601200 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 3601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769844).

3601200 is an abundant number, since it is smaller than the sum of its proper divisors (7938488).

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

3601200 is a wasteful number, since it uses less digits than its factorization.

3601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3601200 is about 1897.6827975191. The cubic root of 3601200 is about 153.2789136854.

Adding to 3601200 its reverse (21063), we get a palindrome (3622263).

The spelling of 3601200 in words is "three million, six hundred one thousand, two hundred".