348501056736 has 288 divisors, whose sum is σ = 1073604430080. Its totient is φ = 98693683200.

The previous prime is 348501056719. The next prime is 348501056741. The reversal of 348501056736 is 637650105843.

It is a super-2 number, since 2×348501056736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308680620 + ... + 308681748.

It is an arithmetic number, because the mean of its divisors is an integer number (3727793160).

Almost surely, 2^348501056736 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 348501056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536802215040).

348501056736 is an abundant number, since it is smaller than the sum of its proper divisors (725103373344).

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

348501056736 is a wasteful number, since it uses less digits than its factorization.

348501056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 348501056736 in words is "three hundred forty-eight billion, five hundred one million, fifty-six thousand, seven hundred thirty-six".