349117200 has 180 divisors, whose sum is σ = 1244752548. Its totient is φ = 90547200.

The previous prime is 349117199. The next prime is 349117211. The reversal of 349117200 is 2711943.

349117200 is a `hidden beast` number, since 3 + 491 + 172 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23386896 + 325730304 = 4836^2 + 18048^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 131890 + ... + 134510.

Almost surely, 2^349117200 is an apocalyptic number.

349117200 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 349117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622376274).

349117200 is an abundant number, since it is smaller than the sum of its proper divisors (895635348).

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

349117200 is a wasteful number, since it uses less digits than its factorization.

349117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 349117200 is about 18684.6782150510. The cubic root of 349117200 is about 704.1368643169.

The spelling of 349117200 in words is "three hundred forty-nine million, one hundred seventeen thousand, two hundred".