345750 has 32 divisors (see below), whose sum is σ = 864864. Its totient is φ = 92000.

The previous prime is 345749. The next prime is 345757. The reversal of 345750 is 57543.

It is a self number, because there is not a number n which added to its sum of digits gives 345750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

2³⁴⁵⁷⁵⁰ is an apocalyptic number.

345750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

345750 is an abundant number, since it is smaller than the sum of its proper divisors (519114).

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

345750 is a wasteful number, since it uses less digits than its factorization.

345750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 345750 is about 588.0051020187. The cubic root of 345750 is about 70.1865770880.

It can be divided in two parts, 3 and 45750, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 345750 in words is "three hundred forty-five thousand, seven hundred fifty".