346656384 has 192 divisors, whose sum is σ = 1092199680. Its totient is φ = 105062400.

The previous prime is 346656383. The next prime is 346656403. The reversal of 346656384 is 483656643.

346656384 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 5 + 638 + 4 = 666.

346656384 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 (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (346656383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 606819 + ... + 607389.

It is an arithmetic number, because the mean of its divisors is an integer number (5688540).

Almost surely, 2^346656384 is an apocalyptic number.

346656384 is a gapful number since it is divisible by the number (34) 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 346656384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546099840).

346656384 is an abundant number, since it is smaller than the sum of its proper divisors (745543296).

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

346656384 is a wasteful number, since it uses less digits than its factorization.

346656384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 346656384 is about 18618.7105890822. The cubic root of 346656384 is about 702.4785496842.

The spelling of 346656384 in words is "three hundred forty-six million, six hundred fifty-six thousand, three hundred eighty-four".