349073808 has 80 divisors (see below), whose sum is σ = 918572160. Its totient is φ = 114213888.

The previous prime is 349073789. The next prime is 349073821. The reversal of 349073808 is 808370943.

It is a self number, because there is not a number n which added to its sum of digits gives 349073808.

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 15 ways as a sum of consecutive naturals, for example, 716541 + ... + 717027.

It is an arithmetic number, because the mean of its divisors is an integer number (11482152).

Almost surely, 2^349073808 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 349073808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459286080).

349073808 is an abundant number, since it is smaller than the sum of its proper divisors (569498352).

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

349073808 is a wasteful number, since it uses less digits than its factorization.

349073808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 349073808 is about 18683.5170136674. The cubic root of 349073808 is about 704.1076905678.

The spelling of 349073808 in words is "three hundred forty-nine million, seventy-three thousand, eight hundred eight".