368225200 has 90 divisors (see below), whose sum is σ = 1029150276. Its totient is φ = 126241920.

The previous prime is 368225191. The next prime is 368225201. The reversal of 368225200 is 2522863.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (368225201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10207 + ... + 28993.

Almost surely, 2^368225200 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 368225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514575138).

368225200 is an abundant number, since it is smaller than the sum of its proper divisors (660925076).

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

368225200 is a wasteful number, since it uses less digits than its factorization.

368225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18819 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 368225200 is about 19189.1948762839. The cubic root of 368225200 is about 716.7557223626.

It can be divided in two parts, 3682 and 25200, that added together give a palindrome (28882).

The spelling of 368225200 in words is "three hundred sixty-eight million, two hundred twenty-five thousand, two hundred".