349056 has 64 divisors (see below), whose sum is σ = 1040400. Its totient is φ = 115200.

The previous prime is 349051. The next prime is 349079. The reversal of 349056 is 650943.

It is a happy number.

349056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×349056² = 243680182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349051) by changing a digit.

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, 3406 + ... + 3506.

2³⁴⁹⁰⁵⁶ is an apocalyptic number.

349056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520200).

349056 is an abundant number, since it is smaller than the sum of its proper divisors (691344).

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

349056 is a wasteful number, since it uses less digits than its factorization.

349056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 349056 is about 590.8096140044. The cubic root of 349056 is about 70.4095717013.

Adding to 349056 its reverse (650943), we get a palindrome (999999).

The spelling of 349056 in words is "three hundred forty-nine thousand, fifty-six".