349819008 has 128 divisors (see below), whose sum is σ = 1158589440. Its totient is φ = 90854400.

The previous prime is 349818991. The next prime is 349819009. The reversal of 349819008 is 800918943.

349819008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (349819009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23653 + ... + 35483.

It is an arithmetic number, because the mean of its divisors is an integer number (9051480).

Almost surely, 2^349819008 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 349819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579294720).

349819008 is an abundant number, since it is smaller than the sum of its proper divisors (808770432).

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

349819008 is a wasteful number, since it uses less digits than its factorization.

349819008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 349819008 is about 18703.4490936832. The cubic root of 349819008 is about 704.6083756238.

The spelling of 349819008 in words is "three hundred forty-nine million, eight hundred nineteen thousand, eight".