349856200 has 24 divisors (see below), whose sum is σ = 813416130. Its totient is φ = 139942400.

The previous prime is 349856179. The next prime is 349856207. The reversal of 349856200 is 2658943.

It can be written as a sum of positive squares in 3 ways, for example, as 175774564 + 174081636 = 13258^2 + 13194^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 349856200.

It is not an unprimeable number, because it can be changed into a prime (349856207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 874441 + ... + 874840.

Almost surely, 2^349856200 is an apocalyptic number.

It is an amenable number.

349856200 is an abundant number, since it is smaller than the sum of its proper divisors (463559930).

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

349856200 is a wasteful number, since it uses less digits than its factorization.

349856200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749297 (or 1749288 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 349856200 is about 18704.4433223766. The cubic root of 349856200 is about 704.6333455515.

The spelling of 349856200 in words is "three hundred forty-nine million, eight hundred fifty-six thousand, two hundred".