350388224 has 96 divisors (see below), whose sum is σ = 764531310. Its totient is φ = 160432128.

The previous prime is 350388217. The next prime is 350388229. The reversal of 350388224 is 422883053.

It can be written as a sum of positive squares in 3 ways, for example, as 344473600 + 5914624 = 18560^2 + 2432^2 .

It is not an unprimeable number, because it can be changed into a prime (350388229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9469934 + ... + 9469970.

Almost surely, 2^350388224 is an apocalyptic number.

350388224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382265655).

350388224 is an abundant number, since it is smaller than the sum of its proper divisors (414143086).

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

350388224 is an frugal number, since it uses more digits than its factorization.

350388224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 350388224 is about 18718.6597810848. The cubic root of 350388224 is about 704.9903417351.

The spelling of 350388224 in words is "three hundred fifty million, three hundred eighty-eight thousand, two hundred twenty-four".