349907480 has 128 divisors (see below), whose sum is σ = 880588800. Its totient is φ = 124319232.

The previous prime is 349907473. The next prime is 349907507. The reversal of 349907480 is 84709943.

349907480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2517251 + ... + 2517389.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^349907480 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 349907480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

349907480 is an abundant number, since it is smaller than the sum of its proper divisors (530681320).

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

349907480 is a wasteful number, since it uses less digits than its factorization.

349907480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 349907480 is about 18705.8140694277. The cubic root of 349907480 is about 704.6677709647.

The spelling of 349907480 in words is "three hundred forty-nine million, nine hundred seven thousand, four hundred eighty".