346980 has 24 divisors (see below), whose sum is σ = 971712. Its totient is φ = 92512.

The previous prime is 346963. The next prime is 347003. The reversal of 346980 is 89643.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 346980.

It is an unprimeable number.

346980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2832 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (40488).

2³⁴⁶⁹⁸⁰ is an apocalyptic number.

346980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346980 is an abundant number, since it is smaller than the sum of its proper divisors (624732).

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

346980 is a wasteful number, since it uses less digits than its factorization.

346980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5793 counting only the distinct ones).

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

The square root of 346980 is about 589.0500827604. The cubic root of 346980 is about 70.2697077891.

It can be divided in two parts, 346 and 980, that added together give a triangular number (1326 = T₅₁).

The spelling of 346980 in words is "three hundred forty-six thousand, nine hundred eighty".