345876 has 48 divisors (see below), whose sum is σ = 893760. Its totient is φ = 103680.

The previous prime is 345869. The next prime is 345881. The reversal of 345876 is 678543.

345876 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345876.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8416 + ... + 8456.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2³⁴⁵⁸⁷⁶ 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 345876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446880).

345876 is an abundant number, since it is smaller than the sum of its proper divisors (547884).

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

345876 is a wasteful number, since it uses less digits than its factorization.

345876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 345876 is about 588.1122341866. The cubic root of 345876 is about 70.1951019707.

It can be divided in two parts, 345 and 876, that added together give a palindrome (1221).

The spelling of 345876 in words is "three hundred forty-five thousand, eight hundred seventy-six".