346823425728 has 1344 divisors, whose sum is σ = 1274916464640. Its totient is φ = 92302737408.

The previous prime is 346823425723. The next prime is 346823425757. The reversal of 346823425728 is 827524328643.

346823425728 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 23 + 42 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (346823425721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3069233800 + ... + 3069233912.

It is an arithmetic number, because the mean of its divisors is an integer number (948598560).

Almost surely, 2^346823425728 is an apocalyptic number.

346823425728 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 346823425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637458232320).

346823425728 is an abundant number, since it is smaller than the sum of its proper divisors (928093038912).

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

346823425728 is a wasteful number, since it uses less digits than its factorization.

346823425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 346823425728 in words is "three hundred forty-six billion, eight hundred twenty-three million, four hundred twenty-five thousand, seven hundred twenty-eight".