3623200 has 72 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 1240320.

The previous prime is 3623197. The next prime is 3623203. The reversal of 3623200 is 23263.

It is an interprime number because it is at equal distance from previous prime (3623197) and next prime (3623203).

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 (3623203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5277 + ... + 5923.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^3623200 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 3623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

3623200 is an abundant number, since it is smaller than the sum of its proper divisors (6501152).

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

3623200 is a wasteful number, since it uses less digits than its factorization.

3623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3623200 is about 1903.4705146127. The cubic root of 3623200 is about 153.5904110044.

Adding to 3623200 its reverse (23263), we get a palindrome (3646463).

The spelling of 3623200 in words is "three million, six hundred twenty-three thousand, two hundred".