345672 has 24 divisors (see below), whose sum is σ = 936390. Its totient is φ = 115200.

The previous prime is 345659. The next prime is 345673. The reversal of 345672 is 276543.

It is a happy number.

345672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 60516 = 534^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (345673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2329 + ... + 2472.

2³⁴⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

345672 is an abundant number, since it is smaller than the sum of its proper divisors (590718).

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

345672 is a wasteful number, since it uses less digits than its factorization.

345672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4806 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 345672 is about 587.9387723224. The cubic root of 345672 is about 70.1812987416.

It can be divided in two parts, 3456 and 72, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 345672 in words is "three hundred forty-five thousand, six hundred seventy-two".