350784 has 112 divisors (see below), whose sum is σ = 1219200. Its totient is φ = 96768.

The previous prime is 350783. The next prime is 350789. The reversal of 350784 is 487053.

350784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350783) 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 15 ways as a sum of consecutive naturals, for example, 12082 + ... + 12110.

2³⁵⁰⁷⁸⁴ 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 350784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609600).

350784 is an abundant number, since it is smaller than the sum of its proper divisors (868416).

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

350784 is a wasteful number, since it uses less digits than its factorization.

350784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 350784 is about 592.2702086041. The cubic root of 350784 is about 70.5255679105.

The spelling of 350784 in words is "three hundred fifty thousand, seven hundred eighty-four".