348351364824 has 128 divisors (see below), whose sum is σ = 904222828800. Its totient is φ = 111743470080.

The previous prime is 348351364817. The next prime is 348351364871. The reversal of 348351364824 is 428463153843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67363759 + ... + 67368929.

It is an arithmetic number, because the mean of its divisors is an integer number (7064240850).

Almost surely, 2^348351364824 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 348351364824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452111414400).

348351364824 is an abundant number, since it is smaller than the sum of its proper divisors (555871463976).

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

348351364824 is a wasteful number, since it uses less digits than its factorization.

348351364824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6029 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 348351364824 in words is "three hundred forty-eight billion, three hundred fifty-one million, three hundred sixty-four thousand, eight hundred twenty-four".