346382327808 has 896 divisors, whose sum is σ = 1207885824000. Its totient is φ = 96984760320.

The previous prime is 346382327803. The next prime is 346382327821. The reversal of 346382327808 is 808723283643.

346382327808 is a `hidden beast` number, since 3 + 463 + 82 + 3 + 27 + 80 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346382327803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2727419841 + ... + 2727419967.

Almost surely, 2^346382327808 is an apocalyptic number.

346382327808 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 346382327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603942912000).

346382327808 is an abundant number, since it is smaller than the sum of its proper divisors (861503496192).

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

346382327808 is a wasteful number, since it uses less digits than its factorization.

346382327808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 346382327808 in words is "three hundred forty-six billion, three hundred eighty-two million, three hundred twenty-seven thousand, eight hundred eight".