34357985366848 has 672 divisors, whose sum is σ = 86856922901504. Its totient is φ = 13368250368000.

The previous prime is 34357985366843. The next prime is 34357985366857. The reversal of 34357985366848 is 84866358975343.

34357985366848 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34357985366843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7736540308 + ... + 7736544748.

Almost surely, 2^{34357985366848} 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 34357985366848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43428461450752).

34357985366848 is an abundant number, since it is smaller than the sum of its proper divisors (52498937534656).

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

34357985366848 is a wasteful number, since it uses less digits than its factorization.

34357985366848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4602 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 79.

The spelling of 34357985366848 in words is "thirty-four trillion, three hundred fifty-seven billion, nine hundred eighty-five million, three hundred sixty-six thousand, eight hundred forty-eight".