350141200 has 60 divisors (see below), whose sum is σ = 845803008. Its totient is φ = 139292800.

The previous prime is 350141173. The next prime is 350141221. The reversal of 350141200 is 2141053.

350141200 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 (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74109 + ... + 78691.

Almost surely, 2^350141200 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 350141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422901504).

350141200 is an abundant number, since it is smaller than the sum of its proper divisors (495661808).

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

350141200 is a wasteful number, since it uses less digits than its factorization.

350141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 350141200 is about 18712.0602820748. The cubic root of 350141200 is about 704.8246298538.

Adding to 350141200 its reverse (2141053), we get a palindrome (352282253).

The spelling of 350141200 in words is "three hundred fifty million, one hundred forty-one thousand, two hundred".