348434686080 has 384 divisors, whose sum is σ = 1320204478320. Its totient is φ = 84149305344.

The previous prime is 348434686069. The next prime is 348434686081. The reversal of 348434686080 is 80686434843.

348434686080 is a `hidden beast` number, since 3 + 4 + 8 + 43 + 468 + 60 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 145783457856 + 202651228224 = 381816^2 + 450168^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (348434686081) 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 47 ways as a sum of consecutive naturals, for example, 3924742 + ... + 4012538.

Almost surely, 2^348434686080 is an apocalyptic number.

348434686080 is a gapful number since it is divisible by the number (30) 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 348434686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660102239160).

348434686080 is an abundant number, since it is smaller than the sum of its proper divisors (971769792240).

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

348434686080 is a wasteful number, since it uses less digits than its factorization.

348434686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87888 (or 87873 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 348434686080 in words is "three hundred forty-eight billion, four hundred thirty-four million, six hundred eighty-six thousand, eighty".