349066200 has 288 divisors, whose sum is σ = 1302773760. Its totient is φ = 77011200.

The previous prime is 349066199. The next prime is 349066229. The reversal of 349066200 is 2660943.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 911209 + ... + 911591.

It is an arithmetic number, because the mean of its divisors is an integer number (4523520).

Almost surely, 2^349066200 is an apocalyptic number.

349066200 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 349066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651386880).

349066200 is an abundant number, since it is smaller than the sum of its proper divisors (953707560).

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

349066200 is a wasteful number, since it uses less digits than its factorization.

349066200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 349066200 is about 18683.3134106346. The cubic root of 349066200 is about 704.1025752311.

The spelling of 349066200 in words is "three hundred forty-nine million, sixty-six thousand, two hundred".