349806 has 16 divisors (see below), whose sum is σ = 705744. Its totient is φ = 115584.

The previous prime is 349801. The next prime is 349813. The reversal of 349806 is 608943.

349806 is nontrivially palindromic in base 7.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349806.

It is not an unprimeable number, because it can be changed into a prime (349801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (44109).

2³⁴⁹⁸⁰⁶ is an apocalyptic number.

349806 is an abundant number, since it is smaller than the sum of its proper divisors (355938).

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

349806 is a wasteful number, since it uses less digits than its factorization.

349806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 349806 is about 591.4439956581. The cubic root of 349806 is about 70.4599641908.

The spelling of 349806 in words is "three hundred forty-nine thousand, eight hundred six".