3564200 has 48 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1400000.

The previous prime is 3564193. The next prime is 3564221. The reversal of 3564200 is 24653.

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, 14075 + ... + 14325.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^3564200 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 3564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

3564200 is an abundant number, since it is smaller than the sum of its proper divisors (4872760).

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

3564200 is a wasteful number, since it uses less digits than its factorization.

3564200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

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

The square root of 3564200 is about 1887.9088961070. The cubic root of 3564200 is about 152.7521582997.

Adding to 3564200 its reverse (24653), we get a palindrome (3588853).

The spelling of 3564200 in words is "three million, five hundred sixty-four thousand, two hundred".