349085488068 has 72 divisors (see below), whose sum is σ = 921256784448. Its totient is φ = 111244529088.

The previous prime is 349085488057. The next prime is 349085488097. The reversal of 349085488068 is 860884580943.

349085488068 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 8 + 548 + 80 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349085487996 and 349085488014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491471 + ... + 1709577.

Almost surely, 2^349085488068 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 349085488068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460628392224).

349085488068 is an abundant number, since it is smaller than the sum of its proper divisors (572171296380).

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

349085488068 is a wasteful number, since it uses less digits than its factorization.

349085488068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220073 (or 220068 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 349085488068 in words is "three hundred forty-nine billion, eighty-five million, four hundred eighty-eight thousand, sixty-eight".