346380 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 88000.

The previous prime is 346373. The next prime is 346391. The reversal of 346380 is 83643.

346380 = T₉₉ + T₁₀₀ + ... + T₁₄₄.

It is a self number, because there is not a number n which added to its sum of digits gives 346380.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2³⁴⁶³⁸⁰ is an apocalyptic number.

346380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

346380 is an abundant number, since it is smaller than the sum of its proper divisors (669684).

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

346380 is a wasteful number, since it uses less digits than its factorization.

346380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 346380 is about 588.5405678456. The cubic root of 346380 is about 70.2291808133.

The spelling of 346380 in words is "three hundred forty-six thousand, three hundred eighty".