8349785856 has 180 divisors, whose sum is σ = 25572806952. Its totient is φ = 2707789824.

The previous prime is 8349785849. The next prime is 8349785869. The reversal of 8349785856 is 6585879438.

8349785856 is a `hidden beast` number, since 8 + 3 + 49 + 7 + 8 + 585 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8349785793 and 8349785802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 761791 + ... + 772673.

Almost surely, 2^8349785856 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 8349785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786403476).

8349785856 is an abundant number, since it is smaller than the sum of its proper divisors (17223021096).

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

8349785856 is a wasteful number, since it uses less digits than its factorization.

8349785856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948 (or 10925 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The square root of 8349785856 is about 91377.1626611376. The cubic root of 8349785856 is about 2028.7340223081.

The spelling of 8349785856 in words is "eight billion, three hundred forty-nine million, seven hundred eighty-five thousand, eight hundred fifty-six".