3645200 has 60 divisors (see below), whose sum is σ = 9444708. Its totient is φ = 1344000.

The previous prime is 3645193. The next prime is 3645227. The reversal of 3645200 is 25463.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 3579664 = 256^2 + 1892^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

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, 4850 + ... + 5550.

Almost surely, 2^3645200 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 3645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722354).

3645200 is an abundant number, since it is smaller than the sum of its proper divisors (5799508).

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

3645200 is a wasteful number, since it uses less digits than its factorization.

3645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3645200 is about 1909.2406867653. The cubic root of 3645200 is about 153.9006499246.

It can be divided in two parts, 3645 and 200, that multiplied together give a cube (729000 = 90³).

The spelling of 3645200 in words is "three million, six hundred forty-five thousand, two hundred".