349087800 has 96 divisors (see below), whose sum is σ = 1105286400. Its totient is φ = 91102080.

The previous prime is 349087793. The next prime is 349087801. The reversal of 349087800 is 8780943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349087801) 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 23 ways as a sum of consecutive naturals, for example, 22011 + ... + 34389.

It is an arithmetic number, because the mean of its divisors is an integer number (11513400).

Almost surely, 2^349087800 is an apocalyptic number.

349087800 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 349087800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552643200).

349087800 is an abundant number, since it is smaller than the sum of its proper divisors (756198600).

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

349087800 is a wasteful number, since it uses less digits than its factorization.

349087800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 349087800 is about 18683.8914576166. The cubic root of 349087800 is about 704.1170980751.

The spelling of 349087800 in words is "three hundred forty-nine million, eighty-seven thousand, eight hundred".