350524416 has 264 divisors, whose sum is σ = 1097716032. Its totient is φ = 99123200.

The previous prime is 350524381. The next prime is 350524417. The reversal of 350524416 is 614425053.

350524416 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 (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350524417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8549356 + ... + 8549396.

Almost surely, 2^350524416 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 350524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548858016).

350524416 is an abundant number, since it is smaller than the sum of its proper divisors (747191616).

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

350524416 is a wasteful number, since it uses less digits than its factorization.

350524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 350524416 is about 18722.2972949369. The cubic root of 350524416 is about 705.0816705345.

Adding to 350524416 its reverse (614425053), we get a palindrome (964949469).

The spelling of 350524416 in words is "three hundred fifty million, five hundred twenty-four thousand, four hundred sixteen".