349339200 has 336 divisors, whose sum is σ = 1350044544. Its totient is φ = 77414400.

The previous prime is 349339183. The next prime is 349339201. The reversal of 349339200 is 2933943.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (349339201) 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 47 ways as a sum of consecutive naturals, for example, 1243060 + ... + 1243340.

Almost surely, 2^349339200 is an apocalyptic number.

349339200 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 349339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675022272).

349339200 is an abundant number, since it is smaller than the sum of its proper divisors (1000705344).

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

349339200 is a wasteful number, since it uses less digits than its factorization.

349339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 349339200 is about 18690.6179673118. The cubic root of 349339200 is about 704.2860837975.

The spelling of 349339200 in words is "three hundred forty-nine million, three hundred thirty-nine thousand, two hundred".