350441168 has 120 divisors (see below), whose sum is σ = 898484160. Its totient is φ = 129254400.

The previous prime is 350441129. The next prime is 350441173. The reversal of 350441168 is 861144053.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256808 + ... + 258168.

It is an arithmetic number, because the mean of its divisors is an integer number (7487368).

Almost surely, 2^350441168 is an apocalyptic number.

350441168 is a gapful number since it is divisible by the number (38) 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 350441168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449242080).

350441168 is an abundant number, since it is smaller than the sum of its proper divisors (548042992).

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

350441168 is a wasteful number, since it uses less digits than its factorization.

350441168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 350441168 is about 18720.0739314779. The cubic root of 350441168 is about 705.0258481880.

The spelling of 350441168 in words is "three hundred fifty million, four hundred forty-one thousand, one hundred sixty-eight".