348384 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 109440.

The previous prime is 348367. The next prime is 348389. The reversal of 348384 is 483843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×348384² = 242742822912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348384.

It is not an unprimeable number, because it can be changed into a prime (348389) by changing a digit.

348384 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 7 ways as a sum of consecutive naturals, for example, 1729 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³⁴⁸³⁸⁴ 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 348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

348384 is an abundant number, since it is smaller than the sum of its proper divisors (619296).

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

348384 is a wasteful number, since it uses less digits than its factorization.

348384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 348384 is about 590.2406288964. The cubic root of 348384 is about 70.3643586807.

The spelling of 348384 in words is "three hundred forty-eight thousand, three hundred eighty-four".