349668 has 36 divisors (see below), whose sum is σ = 965328. Its totient is φ = 105840.

The previous prime is 349667. The next prime is 349697. The reversal of 349668 is 866943.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁵ + 4⁹ + 6⁵ + 9² + 6⁶ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (349663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 837.

2³⁴⁹⁶⁶⁸ 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 349668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482664).

349668 is an abundant number, since it is smaller than the sum of its proper divisors (615660).

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

349668 is a wasteful number, since it uses less digits than its factorization.

349668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 899 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 349668 is about 591.3273205256. The cubic root of 349668 is about 70.4506973839.

The spelling of 349668 in words is "three hundred forty-nine thousand, six hundred sixty-eight".