348635816928 has 1008 divisors, whose sum is σ = 1262079702576. Its totient is φ = 94372024320.

The previous prime is 348635816869. The next prime is 348635816959. The reversal of 348635816928 is 829618536843.

It is a happy number.

348635816928 is a `hidden beast` number, since 3 + 48 + 6 + 3 + 581 + 6 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2015235850 + ... + 2015236022.

It is an arithmetic number, because the mean of its divisors is an integer number (1252063197).

Almost surely, 2^348635816928 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 348635816928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631039851288).

348635816928 is an abundant number, since it is smaller than the sum of its proper divisors (913443885648).

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

348635816928 is a wasteful number, since it uses less digits than its factorization.

348635816928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 348635816928 in words is "three hundred forty-eight billion, six hundred thirty-five million, eight hundred sixteen thousand, nine hundred twenty-eight".