346808 has 32 divisors (see below), whose sum is σ = 812160. Its totient is φ = 134880.

The previous prime is 346793. The next prime is 346831. The reversal of 346808 is 808643.

346808 = T₃₃₇ + T₃₃₈ + ... + T₃₄₂.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (25380).

2³⁴⁶⁸⁰⁸ 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 346808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406080).

346808 is an abundant number, since it is smaller than the sum of its proper divisors (465352).

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

346808 is a wasteful number, since it uses less digits than its factorization.

346808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 346808 is about 588.9040668904. The cubic root of 346808 is about 70.2580948360.

The spelling of 346808 in words is "three hundred forty-six thousand, eight hundred eight".