34427150685312 has 512 divisors, whose sum is σ = 116529074012160. Its totient is φ = 8746685337600.

The previous prime is 34427150685289. The next prime is 34427150685329. The reversal of 34427150685312 is 21358605172443.

It is a super-2 number, since 2×34427150685312² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266550093 + ... + 266679219.

It is an arithmetic number, because the mean of its divisors is an integer number (227595847680).

Almost surely, 2^{34427150685312} is an apocalyptic number.

34427150685312 is a gapful number since it is divisible by the number (32) 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 34427150685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58264537006080).

34427150685312 is an abundant number, since it is smaller than the sum of its proper divisors (82101923326848).

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

34427150685312 is a wasteful number, since it uses less digits than its factorization.

34427150685312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129360 (or 129348 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 34427150685312 in words is "thirty-four trillion, four hundred twenty-seven billion, one hundred fifty million, six hundred eighty-five thousand, three hundred twelve".