345744 has 75 divisors (see below), whose sum is σ = 1128803. Its totient is φ = 98784.

The previous prime is 345739. The next prime is 345749. The reversal of 345744 is 447543.

345744 = 14³ + 15³ + ... + 34³.

The square root of 345744 is 588.

It is a perfect power (a square), and thus also a powerful number.

345744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345739) and next prime (345749).

It is a Duffinian number.

Its product of digits (6720) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (345749) by changing a digit.

345744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 14 ways as a sum of consecutive naturals, for example, 49389 + ... + 49395.

345744 is a Friedman number, since it can be written as (5+4)*(7+4+3)^4, using all its digits and the basic arithmetic operations.

2³⁴⁵⁷⁴⁴ is an apocalyptic number.

345744 is the 588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345744

345744 is an abundant number, since it is smaller than the sum of its proper divisors (783059).

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

345744 is an equidigital number, since it uses as much as digits as its factorization.

345744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 12 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The cubic root of 345744 is about 70.1861710895.

It can be divided in two parts, 345 and 744, that added together give a square (1089 = 33²).

The spelling of 345744 in words is "three hundred forty-five thousand, seven hundred forty-four".