34061357185848 has 128 divisors (see below), whose sum is σ = 97732594944000. Its totient is φ = 10980152225280.

The previous prime is 34061357185829. The next prime is 34061357185853. The reversal of 34061357185848 is 84858175316043.

It is a happy number.

34061357185848 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 1 + 3 + 571 + 8 + 58 + 4 + 8 = 666.

It is a super-2 number, since 2×34061357185848² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8262211 + ... + 11678477.

It is an arithmetic number, because the mean of its divisors is an integer number (763535898000).

Almost surely, 2^{34061357185848} 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 34061357185848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48866297472000).

34061357185848 is an abundant number, since it is smaller than the sum of its proper divisors (63671237758152).

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

34061357185848 is a wasteful number, since it uses less digits than its factorization.

34061357185848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417802 (or 3417792 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 34061357185848 in words is "thirty-four trillion, sixty-one billion, three hundred fifty-seven million, one hundred eighty-five thousand, eight hundred forty-eight".