34856938688 has 224 divisors, whose sum is σ = 84579317760. Its totient is φ = 14039101440.

The previous prime is 34856938681. The next prime is 34856938741. The reversal of 34856938688 is 88683965843.

It is a super-2 number, since 2×34856938688² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34856938681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26750645 + ... + 26751947.

It is an arithmetic number, because the mean of its divisors is an integer number (377586240).

Almost surely, 2^34856938688 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 34856938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42289658880).

34856938688 is an abundant number, since it is smaller than the sum of its proper divisors (49722379072).

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

34856938688 is a wasteful number, since it uses less digits than its factorization.

34856938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1445 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 68.

The spelling of 34856938688 in words is "thirty-four billion, eight hundred fifty-six million, nine hundred thirty-eight thousand, six hundred eighty-eight".