350088320 has 64 divisors (see below), whose sum is σ = 852803640. Its totient is φ = 137379840.

The previous prime is 350088311. The next prime is 350088331. The reversal of 350088320 is 23880053.

It can be written as a sum of positive squares in 4 ways, for example, as 315701824 + 34386496 = 17768^2 + 5864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28760 + ... + 39080.

Almost surely, 2^350088320 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 350088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426401820).

350088320 is an abundant number, since it is smaller than the sum of its proper divisors (502715320).

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

350088320 is a wasteful number, since it uses less digits than its factorization.

350088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 350088320 is about 18710.6472362663. The cubic root of 350088320 is about 704.7891460710.

The spelling of 350088320 in words is "three hundred fifty million, eighty-eight thousand, three hundred twenty".