34688138065088 has 112 divisors (see below), whose sum is σ = 71789937070080. Its totient is φ = 16611775488000.

The previous prime is 34688138065051. The next prime is 34688138065099. The reversal of 34688138065088 is 88056083188643.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77066288 + ... + 77515088.

Almost surely, 2^{34688138065088} 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 34688138065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35894968535040).

34688138065088 is an abundant number, since it is smaller than the sum of its proper divisors (37101799004992).

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

34688138065088 is a wasteful number, since it uses less digits than its factorization.

34688138065088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449246 (or 449236 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 68.

The spelling of 34688138065088 in words is "thirty-four trillion, six hundred eighty-eight billion, one hundred thirty-eight million, sixty-five thousand, eighty-eight".