350533120 has 160 divisors (see below), whose sum is σ = 993079296. Its totient is φ = 116121600.

The previous prime is 350533039. The next prime is 350533129. The reversal of 350533120 is 21335053.

It is a happy number.

350533120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 350533091 and 350533100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350533129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555205 + ... + 555835.

Almost surely, 2^350533120 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 350533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496539648).

350533120 is an abundant number, since it is smaller than the sum of its proper divisors (642546176).

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

350533120 is an equidigital number, since it uses as much as digits as its factorization.

350533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 350533120 is about 18722.5297436004. The cubic root of 350533120 is about 705.0875065332.

Adding to 350533120 its reverse (21335053), we get a palindrome (371868173).

The spelling of 350533120 in words is "three hundred fifty million, five hundred thirty-three thousand, one hundred twenty".