349910456 has 64 divisors (see below), whose sum is σ = 798336000. Its totient is φ = 140355072.

The previous prime is 349910419. The next prime is 349910501. The reversal of 349910456 is 654019943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188525 + ... + 190371.

It is an arithmetic number, because the mean of its divisors is an integer number (12474000).

Almost surely, 2^349910456 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 349910456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

349910456 is an abundant number, since it is smaller than the sum of its proper divisors (448425544).

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

349910456 is a wasteful number, since it uses less digits than its factorization.

349910456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 349910456 is about 18705.8936167188. The cubic root of 349910456 is about 704.6697687169.

The spelling of 349910456 in words is "three hundred forty-nine million, nine hundred ten thousand, four hundred fifty-six".