346344768 has 448 divisors, whose sum is σ = 1345996800. Its totient is φ = 84602880.

The previous prime is 346344751. The next prime is 346344781. The reversal of 346344768 is 867443643.

346344768 is a `hidden beast` number, since 3 + 4 + 634 + 4 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2527996 + ... + 2528132.

Almost surely, 2^346344768 is an apocalyptic number.

346344768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672998400).

346344768 is an abundant number, since it is smaller than the sum of its proper divisors (999652032).

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

346344768 is a wasteful number, since it uses less digits than its factorization.

346344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 346344768 is about 18610.3403515358. The cubic root of 346344768 is about 702.2679961498.

The spelling of 346344768 in words is "three hundred forty-six million, three hundred forty-four thousand, seven hundred sixty-eight".