346901808 has 80 divisors (see below), whose sum is σ = 982080000. Its totient is φ = 104643840.

The previous prime is 346901803. The next prime is 346901809. The reversal of 346901808 is 808109643.

346901808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×346901808³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (346901803) by changing a digit.

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, 124818 + ... + 127566.

It is an arithmetic number, because the mean of its divisors is an integer number (12276000).

Almost surely, 2^346901808 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 346901808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040000).

346901808 is an abundant number, since it is smaller than the sum of its proper divisors (635178192).

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

346901808 is a wasteful number, since it uses less digits than its factorization.

346901808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 346901808 is about 18625.3002123456. The cubic root of 346901808 is about 702.6442896248.

The spelling of 346901808 in words is "three hundred forty-six million, nine hundred one thousand, eight hundred eight".