348873410820 has 192 divisors, whose sum is σ = 1070561866752. Its totient is φ = 84186432000.

The previous prime is 348873410819. The next prime is 348873410849. The reversal of 348873410820 is 28014378843.

It is a self number, because there is not a number n which added to its sum of digits gives 348873410820.

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 63 ways as a sum of consecutive naturals, for example, 270234375 + ... + 270235665.

It is an arithmetic number, because the mean of its divisors is an integer number (5575843056).

Almost surely, 2^348873410820 is an apocalyptic number.

348873410820 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 348873410820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535280933376).

348873410820 is an abundant number, since it is smaller than the sum of its proper divisors (721688455932).

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

348873410820 is a wasteful number, since it uses less digits than its factorization.

348873410820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 348873410820 in words is "three hundred forty-eight billion, eight hundred seventy-three million, four hundred ten thousand, eight hundred twenty".