345576 has 96 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 84480.

The previous prime is 345571. The next prime is 345577. The reversal of 345576 is 675543.

Its product of digits (12600) is a multiple of the sum of its prime divisors (40).

It is not an unprimeable number, because it can be changed into a prime (345571) by changing a digit.

345576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20320 + ... + 20336.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2³⁴⁵⁵⁷⁶ 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 345576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

345576 is an abundant number, since it is smaller than the sum of its proper divisors (803544).

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

345576 is a wasteful number, since it uses less digits than its factorization.

345576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 345576 is about 587.8571254990. The cubic root of 345576 is about 70.1748012252.

The spelling of 345576 in words is "three hundred forty-five thousand, five hundred seventy-six".