348500 has 48 divisors (see below), whose sum is σ = 825552. Its totient is φ = 128000.

The previous prime is 348487. The next prime is 348527. The reversal of 348500 is 5843.

348500 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 8 ways, for example, as 158404 + 190096 = 398^2 + 436^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

348500 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 15 ways as a sum of consecutive naturals, for example, 8480 + ... + 8520.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2³⁴⁸⁵⁰⁰ 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 348500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776).

348500 is an abundant number, since it is smaller than the sum of its proper divisors (477052).

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

348500 is a wasteful number, since it uses less digits than its factorization.

348500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 348500 is about 590.3388857258. The cubic root of 348500 is about 70.3721674586.

It can be divided in two parts, 348 and 500, that added together give a palindrome (848).

The spelling of 348500 in words is "three hundred forty-eight thousand, five hundred".