348765000318 has 256 divisors, whose sum is σ = 987655680000. Its totient is φ = 88880799744.

The previous prime is 348765000307. The next prime is 348765000329. The reversal of 348765000318 is 813000567843.

348765000318 is a `hidden beast` number, since 3 + 48 + 76 + 500 + 0 + 31 + 8 = 666.

It is a Cunningham number, because it is equal to 7039³-1.

It is an interprime number because it is at equal distance from previous prime (348765000307) and next prime (348765000329).

It is a super-2 number, since 2×348765000318² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16099158 + ... + 16120806.

It is an arithmetic number, because the mean of its divisors is an integer number (3858030000).

Almost surely, 2^348765000318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348765000318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493827840000).

348765000318 is an abundant number, since it is smaller than the sum of its proper divisors (638890679682).

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

348765000318 is a wasteful number, since it uses less digits than its factorization.

348765000318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21816 (or 21810 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 348765000318 in words is "three hundred forty-eight billion, seven hundred sixty-five million, three hundred eighteen", and thus it is an aban number.