346412120 has 64 divisors (see below), whose sum is σ = 795191040. Its totient is φ = 135792000.

The previous prime is 346412117. The next prime is 346412153. The reversal of 346412120 is 21214643.

346412120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500975 + ... + 501665.

It is an arithmetic number, because the mean of its divisors is an integer number (12424860).

Almost surely, 2^346412120 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 346412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397595520).

346412120 is an abundant number, since it is smaller than the sum of its proper divisors (448778920).

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

346412120 is a wasteful number, since it uses less digits than its factorization.

346412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 346412120 is about 18612.1497952278. The cubic root of 346412120 is about 702.3135154249.

Adding to 346412120 its reverse (21214643), we get a palindrome (367626763).

The spelling of 346412120 in words is "three hundred forty-six million, four hundred twelve thousand, one hundred twenty".