350384320 has 336 divisors, whose sum is σ = 1070945280. Its totient is φ = 107827200.

The previous prime is 350384317. The next prime is 350384329. The reversal of 350384320 is 23483053.

It is not an unprimeable number, because it can be changed into a prime (350384329) 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 47 ways as a sum of consecutive naturals, for example, 11302705 + ... + 11302735.

Almost surely, 2^350384320 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 350384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535472640).

350384320 is an abundant number, since it is smaller than the sum of its proper divisors (720560960).

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

350384320 is a wasteful number, since it uses less digits than its factorization.

350384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 350384320 is about 18718.5554998242. Note that the first 3 decimals coincide. The cubic root of 350384320 is about 704.9877234084.

The spelling of 350384320 in words is "three hundred fifty million, three hundred eighty-four thousand, three hundred twenty".