350477568 has 216 divisors, whose sum is σ = 1193826816. Its totient is φ = 96768000.

The previous prime is 350477539. The next prime is 350477581. The reversal of 350477568 is 865774053.

350477568 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499618 + ... + 500318.

It is an arithmetic number, because the mean of its divisors is an integer number (5526976).

Almost surely, 2^350477568 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 350477568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596913408).

350477568 is an abundant number, since it is smaller than the sum of its proper divisors (843349248).

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

350477568 is a wasteful number, since it uses less digits than its factorization.

350477568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 350477568 is about 18721.0461246160. The cubic root of 350477568 is about 705.0502574705.

The spelling of 350477568 in words is "three hundred fifty million, four hundred seventy-seven thousand, five hundred sixty-eight".