345912 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 94080.

The previous prime is 345907. The next prime is 345923. The reversal of 345912 is 219543.

It is a super-2 number, since 2×345912² = 239310223488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 345912.

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, 4837 + ... + 4907.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2³⁴⁵⁹¹² 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 345912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

345912 is an abundant number, since it is smaller than the sum of its proper divisors (690888).

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

345912 is a wasteful number, since it uses less digits than its factorization.

345912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 345912 is about 588.1428397932. The cubic root of 345912 is about 70.1975372713.

The spelling of 345912 in words is "three hundred forty-five thousand, nine hundred twelve".