349337268 has 144 divisors (see below), whose sum is σ = 1084720000. Its totient is φ = 94493952.

The previous prime is 349337243. The next prime is 349337269. The reversal of 349337268 is 862733943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349337269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233868 + ... + 235356.

Almost surely, 2^349337268 is an apocalyptic number.

349337268 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349337268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542360000).

349337268 is an abundant number, since it is smaller than the sum of its proper divisors (735382732).

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

349337268 is a wasteful number, since it uses less digits than its factorization.

349337268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1520 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 349337268 is about 18690.5662835560. The cubic root of 349337268 is about 704.2847854575.

The spelling of 349337268 in words is "three hundred forty-nine million, three hundred thirty-seven thousand, two hundred sixty-eight".