348627085776 has 200 divisors, whose sum is σ = 1017764171424. Its totient is φ = 115207038720.

The previous prime is 348627085759. The next prime is 348627085777. The reversal of 348627085776 is 677580726843.

348627085776 is a `hidden beast` number, since 3 + 486 + 2 + 7 + 0 + 85 + 7 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348627085777) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81395731 + ... + 81400013.

Almost surely, 2^348627085776 is an apocalyptic number.

348627085776 is a gapful number since it is divisible by the number (36) 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 348627085776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508882085712).

348627085776 is an abundant number, since it is smaller than the sum of its proper divisors (669137085648).

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

348627085776 is a wasteful number, since it uses less digits than its factorization.

348627085776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 348627085776 in words is "three hundred forty-eight billion, six hundred twenty-seven million, eighty-five thousand, seven hundred seventy-six".