349487208 has 288 divisors, whose sum is σ = 1184414400. Its totient is φ = 92606976.

The previous prime is 349487189. The next prime is 349487213. The reversal of 349487208 is 802784943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4787460 + ... + 4787532.

It is an arithmetic number, because the mean of its divisors is an integer number (4112550).

Almost surely, 2^349487208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349487208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592207200).

349487208 is an abundant number, since it is smaller than the sum of its proper divisors (834927192).

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

349487208 is a wasteful number, since it uses less digits than its factorization.

349487208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 349487208 is about 18694.5769676663. The cubic root of 349487208 is about 704.3855337082.

The spelling of 349487208 in words is "three hundred forty-nine million, four hundred eighty-seven thousand, two hundred eight".