350168000 has 336 divisors, whose sum is σ = 1102181184. Its totient is φ = 107827200.

The previous prime is 350167997. The next prime is 350168017. The reversal of 350168000 is 861053.

350168000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9463982 + ... + 9464018.

Almost surely, 2^350168000 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 350168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551090592).

350168000 is an abundant number, since it is smaller than the sum of its proper divisors (752013184).

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

350168000 is a wasteful number, since it uses less digits than its factorization.

350168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 350168000 is about 18712.7763840644. The cubic root of 350168000 is about 704.8426119499.

The spelling of 350168000 in words is "three hundred fifty million, one hundred sixty-eight thousand".