350004200 has 96 divisors (see below), whose sum is σ = 1001602560. Its totient is φ = 110764800.

The previous prime is 350004199. The next prime is 350004241. The reversal of 350004200 is 2400053.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8585 + ... + 27815.

It is an arithmetic number, because the mean of its divisors is an integer number (10433360).

Almost surely, 2^350004200 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 350004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500801280).

350004200 is an abundant number, since it is smaller than the sum of its proper divisors (651598360).

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

350004200 is a wasteful number, since it uses less digits than its factorization.

350004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19267 (or 19258 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 350004200 is about 18708.3991832546. The cubic root of 350004200 is about 704.7326921147.

Adding to 350004200 its reverse (2400053), we get a palindrome (352404253).

The spelling of 350004200 in words is "three hundred fifty million, four thousand, two hundred".