350146368 has 336 divisors, whose sum is σ = 1227124800. Its totient is φ = 97044480.

The previous prime is 350146367. The next prime is 350146387. The reversal of 350146368 is 863641053.

350146368 is a `hidden beast` number, since 3 + 5 + 0 + 14 + 636 + 8 = 666.

350146368 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350146361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3212298 + ... + 3212406.

Almost surely, 2^350146368 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 350146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613562400).

350146368 is an abundant number, since it is smaller than the sum of its proper divisors (876978432).

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

350146368 is a wasteful number, since it uses less digits than its factorization.

350146368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 350146368 is about 18712.1983743226. The cubic root of 350146368 is about 704.8280975175.

The spelling of 350146368 in words is "three hundred fifty million, one hundred forty-six thousand, three hundred sixty-eight".