346820 has 12 divisors (see below), whose sum is σ = 728364. Its totient is φ = 138720.

The previous prime is 346793. The next prime is 346831. The reversal of 346820 is 28643.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 228484 + 118336 = 478^2 + 344^2 .

It is a super-2 number, since 2×346820² = 240568224800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8651 + ... + 8690.

It is an arithmetic number, because the mean of its divisors is an integer number (60697).

2³⁴⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

346820 is an abundant number, since it is smaller than the sum of its proper divisors (381544).

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

346820 is a wasteful number, since it uses less digits than its factorization.

346820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17350 (or 17348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 346820 is about 588.9142552189. The cubic root of 346820 is about 70.2589051666.

The spelling of 346820 in words is "three hundred forty-six thousand, eight hundred twenty".