348735889080 has 256 divisors, whose sum is σ = 1229617152000. Its totient is φ = 87733933056.

The previous prime is 348735889043. The next prime is 348735889081. The reversal of 348735889080 is 80988537843.

348735889080 is a `hidden beast` number, since 3 + 48 + 7 + 3 + 588 + 9 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 348735888999 and 348735889017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348735889081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1717161 + ... + 1909479.

It is an arithmetic number, because the mean of its divisors is an integer number (4803192000).

Almost surely, 2^348735889080 is an apocalyptic number.

348735889080 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 348735889080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614808576000).

348735889080 is an abundant number, since it is smaller than the sum of its proper divisors (880881262920).

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

348735889080 is a wasteful number, since it uses less digits than its factorization.

348735889080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192435 (or 192425 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 348735889080 in words is "three hundred forty-eight billion, seven hundred thirty-five million, eight hundred eighty-nine thousand, eighty".