349059680 has 48 divisors (see below), whose sum is σ = 832401360. Its totient is φ = 138312192.

The previous prime is 349059593. The next prime is 349059703. The reversal of 349059680 is 86950943.

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 7 ways as a sum of consecutive naturals, for example, 6926 + ... + 27314.

It is an arithmetic number, because the mean of its divisors is an integer number (17341695).

Almost surely, 2^349059680 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 349059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416200680).

349059680 is an abundant number, since it is smaller than the sum of its proper divisors (483341680).

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

349059680 is a wasteful number, since it uses less digits than its factorization.

349059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20511 (or 20503 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 349059680 is about 18683.1389225687. The cubic root of 349059680 is about 704.0981913660.

The spelling of 349059680 in words is "three hundred forty-nine million, fifty-nine thousand, six hundred eighty".