346688128 has 64 divisors (see below), whose sum is σ = 730679040. Its totient is φ = 163584000.

The previous prime is 346688119. The next prime is 346688129. The reversal of 346688128 is 821886643.

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

It is a super-2 number, since 2×346688128² = 240385316192288768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (346688129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161623 + ... + 163753.

It is an arithmetic number, because the mean of its divisors is an integer number (11416860).

Almost surely, 2^346688128 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 346688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365339520).

346688128 is an abundant number, since it is smaller than the sum of its proper divisors (383990912).

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

346688128 is a wasteful number, since it uses less digits than its factorization.

346688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2205 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 346688128 is about 18619.5630453564. The cubic root of 346688128 is about 702.4999914726.

The spelling of 346688128 in words is "three hundred forty-six million, six hundred eighty-eight thousand, one hundred twenty-eight".