350219520 has 432 divisors, whose sum is σ = 1431061632. Its totient is φ = 77414400.

The previous prime is 350219501. The next prime is 350219521. The reversal of 350219520 is 25912053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350219521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3467470 + ... + 3467570.

Almost surely, 2^350219520 is an apocalyptic number.

350219520 is a gapful number since it is divisible by the number (30) 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 350219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715530816).

350219520 is an abundant number, since it is smaller than the sum of its proper divisors (1080842112).

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

350219520 is a wasteful number, since it uses less digits than its factorization.

350219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 350219520 is about 18714.1529330077. The cubic root of 350219520 is about 704.8771779398.

The spelling of 350219520 in words is "three hundred fifty million, two hundred nineteen thousand, five hundred twenty".