34395666088056 has 768 divisors, whose sum is σ = 115991722344960. Its totient is φ = 8393640837120.

The previous prime is 34395666088031. The next prime is 34395666088079. The reversal of 34395666088056 is 65088066659343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10325926311 + ... + 10325929641.

It is an arithmetic number, because the mean of its divisors is an integer number (151030888470).

Almost surely, 2^{34395666088056} 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 34395666088056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57995861172480).

34395666088056 is an abundant number, since it is smaller than the sum of its proper divisors (81596056256904).

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

34395666088056 is a wasteful number, since it uses less digits than its factorization.

34395666088056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 69.

The spelling of 34395666088056 in words is "thirty-four trillion, three hundred ninety-five billion, six hundred sixty-six million, eighty-eight thousand, fifty-six".