349968 has 40 divisors (see below), whose sum is σ = 946368. Its totient is φ = 111232.

The previous prime is 349967. The next prime is 349981. The reversal of 349968 is 869943.

349968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349968.

It is not an unprimeable number, because it can be changed into a prime (349963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 946 + ... + 1262.

2³⁴⁹⁹⁶⁸ 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 349968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473184).

349968 is an abundant number, since it is smaller than the sum of its proper divisors (596400).

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

349968 is a wasteful number, since it uses less digits than its factorization.

349968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 349968 is about 591.5809327556. The cubic root of 349968 is about 70.4708395070.

The spelling of 349968 in words is "three hundred forty-nine thousand, nine hundred sixty-eight".