346120 has 32 divisors (see below), whose sum is σ = 826200. Its totient is φ = 130048.

The previous prime is 346117. The next prime is 346133. The reversal of 346120 is 21643.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 7396 = 582^2 + 86^2 .

It is a junction number, because it is equal to n+sod(n) for n = 346094 and 346103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 934.

2³⁴⁶¹²⁰ is an apocalyptic number.

346120 is the 340-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413100).

346120 is an abundant number, since it is smaller than the sum of its proper divisors (480080).

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

346120 is a wasteful number, since it uses less digits than its factorization.

346120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 346120 is about 588.3196410116. The cubic root of 346120 is about 70.2116045891.

Adding to 346120 its reverse (21643), we get a palindrome (367763).

It can be divided in two parts, 3461 and 20, that added together give a square (3481 = 59²).

The spelling of 346120 in words is "three hundred forty-six thousand, one hundred twenty".