345978 has 32 divisors (see below), whose sum is σ = 792000. Its totient is φ = 111888.

The previous prime is 345953. The next prime is 345979. The reversal of 345978 is 879543.

345978 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (345979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248 + ... + 2396.

It is an arithmetic number, because the mean of its divisors is an integer number (24750).

2³⁴⁵⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396000).

345978 is an abundant number, since it is smaller than the sum of its proper divisors (446022).

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

345978 is a wasteful number, since it uses less digits than its factorization.

345978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 345978 is about 588.1989459358. The cubic root of 345978 is about 70.2020015501.

The spelling of 345978 in words is "three hundred forty-five thousand, nine hundred seventy-eight".