350135200 has 72 divisors (see below), whose sum is σ = 857406060. Its totient is φ = 139622400.

The previous prime is 350135171. The next prime is 350135207. The reversal of 350135200 is 2531053.

It can be written as a sum of positive squares in 6 ways, for example, as 182898576 + 167236624 = 13524^2 + 12932^2 .

It is not an unprimeable number, because it can be changed into a prime (350135207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432396 + ... + 433204.

Almost surely, 2^350135200 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 350135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428703030).

350135200 is an abundant number, since it is smaller than the sum of its proper divisors (507270860).

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

350135200 is a wasteful number, since it uses less digits than its factorization.

350135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 350135200 is about 18711.8999569792. The cubic root of 350135200 is about 704.8206038857.

Adding to 350135200 its reverse (2531053), we get a palindrome (352666253).

The spelling of 350135200 in words is "three hundred fifty million, one hundred thirty-five thousand, two hundred".