350343200 has 72 divisors (see below), whose sum is σ = 884826180. Its totient is φ = 135296000.

The previous prime is 350343193. The next prime is 350343211. The reversal of 350343200 is 2343053.

It can be written as a sum of positive squares in 6 ways, for example, as 64192144 + 286151056 = 8012^2 + 16916^2 .

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

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, 15650 + ... + 30750.

Almost surely, 2^350343200 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 350343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442413090).

350343200 is an abundant number, since it is smaller than the sum of its proper divisors (534482980).

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

350343200 is a wasteful number, since it uses less digits than its factorization.

350343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15150 (or 15137 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 350343200 is about 18717.4570922441. The cubic root of 350343200 is about 704.9601439501.

Adding to 350343200 its reverse (2343053), we get a palindrome (352686253).

The spelling of 350343200 in words is "three hundred fifty million, three hundred forty-three thousand, two hundred".