349824 has 32 divisors (see below), whose sum is σ = 930240. Its totient is φ = 116480.

The previous prime is 349819. The next prime is 349829. The reversal of 349824 is 428943.

It is a happy number.

349824 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (349819) and next prime (349829).

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 349791 and 349800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349829) by changing a digit.

349824 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 3 ways as a sum of consecutive naturals, for example, 72 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

2³⁴⁹⁸²⁴ 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 349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465120).

349824 is an abundant number, since it is smaller than the sum of its proper divisors (580416).

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

349824 is an equidigital number, since it uses as much as digits as its factorization.

349824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 349824 is about 591.4592124568. The cubic root of 349824 is about 70.4611727251.

The spelling of 349824 in words is "three hundred forty-nine thousand, eight hundred twenty-four".