350049920 has 128 divisors (see below), whose sum is σ = 961329600. Its totient is φ = 120545280.

The previous prime is 350049919. The next prime is 350049943. The reversal of 350049920 is 29940053.

350049920 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 132452 + ... + 135068.

Almost surely, 2^350049920 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 350049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480664800).

350049920 is an abundant number, since it is smaller than the sum of its proper divisors (611279680).

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

350049920 is a wasteful number, since it uses less digits than its factorization.

350049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 350049920 is about 18709.6210544201. The cubic root of 350049920 is about 704.7633764854.

Adding to 350049920 its reverse (29940053), we get a palindrome (379989973).

The spelling of 350049920 in words is "three hundred fifty million, forty-nine thousand, nine hundred twenty".