346380768 has 72 divisors (see below), whose sum is σ = 992647656. Its totient is φ = 114566400.

The previous prime is 346380757. The next prime is 346380787. The reversal of 346380768 is 867083643.

346380768 is a `hidden beast` number, since 3 + 4 + 638 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 33138 + ... + 42318.

It is an arithmetic number, because the mean of its divisors is an integer number (13786773).

Almost surely, 2^346380768 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 346380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496323828).

346380768 is an abundant number, since it is smaller than the sum of its proper divisors (646266888).

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

346380768 is a wasteful number, since it uses less digits than its factorization.

346380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 346380768 is about 18611.3075306385. The cubic root of 346380768 is about 702.2923271770.

The spelling of 346380768 in words is "three hundred forty-six million, three hundred eighty thousand, seven hundred sixty-eight".