348430331824160 has 192 divisors, whose sum is σ = 889497674311680. Its totient is φ = 128599880048640.

The previous prime is 348430331824111. The next prime is 348430331824171. The reversal of 348430331824160 is 61428133034843.

It is a super-2 number, since 2×348430331824160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348430331824099 and 348430331824108.

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 31 ways as a sum of consecutive naturals, for example, 30828026 + ... + 40586054.

It is an arithmetic number, because the mean of its divisors is an integer number (4632800387040).

Almost surely, 2^{348430331824160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348430331824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444748837155840).

348430331824160 is an abundant number, since it is smaller than the sum of its proper divisors (541067342487520).

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

348430331824160 is a wasteful number, since it uses less digits than its factorization.

348430331824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9758411 (or 9758403 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 50.

The spelling of 348430331824160 in words is "three hundred forty-eight trillion, four hundred thirty billion, three hundred thirty-one million, eight hundred twenty-four thousand, one hundred sixty".