350352 has 40 divisors (see below), whose sum is σ = 1006880. Its totient is φ = 116640.

The previous prime is 350351. The next prime is 350377. The reversal of 350352 is 253053.

350352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 350352.

It is not an unprimeable number, because it can be changed into a prime (350351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (25172).

2³⁵⁰³⁵² 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 350352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503440).

350352 is an abundant number, since it is smaller than the sum of its proper divisors (656528).

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

350352 is a wasteful number, since it uses less digits than its factorization.

350352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 350352 is about 591.9053978466. The cubic root of 350352 is about 70.4966046350.

The spelling of 350352 in words is "three hundred fifty thousand, three hundred fifty-two".