350023200 has 288 divisors, whose sum is σ = 1262169216. Its totient is φ = 83804160.

The previous prime is 350023199. The next prime is 350023207. The reversal of 350023200 is 2320053.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 350023200.

It is not an unprimeable number, because it can be changed into a prime (350023207) 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, 938214 + ... + 938586.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2^350023200 is an apocalyptic number.

350023200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631084608).

350023200 is an abundant number, since it is smaller than the sum of its proper divisors (912146016).

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

350023200 is a wasteful number, since it uses less digits than its factorization.

350023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 350023200 is about 18708.9069696762. The cubic root of 350023200 is about 704.7454440368.

Adding to 350023200 its reverse (2320053), we get a palindrome (352343253).

The spelling of 350023200 in words is "three hundred fifty million, twenty-three thousand, two hundred".