8349348385800 has 192 divisors, whose sum is σ = 28774676160000. Its totient is φ = 2225268944640.

The previous prime is 8349348385789. The next prime is 8349348385877. The reversal of 8349348385800 is 85838439438.

8349348385800 is a `hidden beast` number, since 8 + 3 + 4 + 9 + 3 + 48 + 3 + 8 + 580 + 0 = 666.

It is a super-2 number, since 2×8349348385800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9420126 + ... + 10268274.

It is an arithmetic number, because the mean of its divisors is an integer number (149868105000).

Almost surely, 2^{8349348385800} 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 8349348385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387338080000).

8349348385800 is an abundant number, since it is smaller than the sum of its proper divisors (20425327774200).

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

8349348385800 is a wasteful number, since it uses less digits than its factorization.

8349348385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849997 (or 849982 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 8349348385800 in words is "eight trillion, three hundred forty-nine billion, three hundred forty-eight million, three hundred eighty-five thousand, eight hundred".