346442112 has 192 divisors, whose sum is σ = 1050192000. Its totient is φ = 109486080.

The previous prime is 346442093. The next prime is 346442153. The reversal of 346442112 is 211244643.

It is a happy number.

346442112 is a `hidden beast` number, since 3 + 4 + 644 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3178314 + ... + 3178422.

It is an arithmetic number, because the mean of its divisors is an integer number (5469750).

Almost surely, 2^346442112 is an apocalyptic number.

346442112 is a gapful number since it is divisible by the number (32) 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 346442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525096000).

346442112 is an abundant number, since it is smaller than the sum of its proper divisors (703749888).

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

346442112 is a wasteful number, since it uses less digits than its factorization.

346442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 346442112 is about 18612.9554880465. The cubic root of 346442112 is about 702.3337833639. Note that the first 3 decimals are identical.

Adding to 346442112 its reverse (211244643), we get a palindrome (557686755).

The spelling of 346442112 in words is "three hundred forty-six million, four hundred forty-two thousand, one hundred twelve".