345856 has 36 divisors (see below), whose sum is σ = 793072. Its totient is φ = 147456.

The previous prime is 345853. The next prime is 345869. The reversal of 345856 is 658543.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1696 + ... + 1888.

2³⁴⁵⁸⁵⁶ 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 345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396536).

345856 is an abundant number, since it is smaller than the sum of its proper divisors (447216).

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

345856 is an equidigital number, since it uses as much as digits as its factorization.

345856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 345856 is about 588.0952303837. The cubic root of 345856 is about 70.1937489530.

The spelling of 345856 in words is "three hundred forty-five thousand, eight hundred fifty-six".