346903968 has 48 divisors (see below), whose sum is σ = 917209440. Its totient is φ = 114798336.

The previous prime is 346903961. The next prime is 346903979. The reversal of 346903968 is 869309643.

346903968 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (346903961) 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 7 ways as a sum of consecutive naturals, for example, 346 + ... + 26342.

It is an arithmetic number, because the mean of its divisors is an integer number (19108530).

Almost surely, 2^346903968 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 346903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458604720).

346903968 is an abundant number, since it is smaller than the sum of its proper divisors (570305472).

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

346903968 is a wasteful number, since it uses less digits than its factorization.

346903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26149 (or 26141 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 346903968 is about 18625.3581978978. The cubic root of 346903968 is about 702.6457479707.

The spelling of 346903968 in words is "three hundred forty-six million, nine hundred three thousand, nine hundred sixty-eight".