346840 has 64 divisors (see below), whose sum is σ = 907200. Its totient is φ = 118272.

The previous prime is 346831. The next prime is 346849. The reversal of 346840 is 48643.

346840 = 145² + 146² + ... + 159².

It is an interprime number because it is at equal distance from previous prime (346831) and next prime (346849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11946 + ... + 11974.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2³⁴⁶⁸⁴⁰ 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 346840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

346840 is an abundant number, since it is smaller than the sum of its proper divisors (560360).

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

346840 is a wasteful number, since it uses less digits than its factorization.

346840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 346840 is about 588.9312353747. The cubic root of 346840 is about 70.2602556761.

The spelling of 346840 in words is "three hundred forty-six thousand, eight hundred forty".