34488050688 has 1056 divisors, whose sum is σ = 135192395520. Its totient is φ = 8210350080.

The previous prime is 34488050677. The next prime is 34488050699. The reversal of 34488050688 is 88605088443.

34488050688 is a `hidden beast` number, since 34 + 488 + 0 + 50 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (34488050677) and next prime (34488050699).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 584543203 + ... + 584543261.

Almost surely, 2^34488050688 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 34488050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67596197760).

34488050688 is an abundant number, since it is smaller than the sum of its proper divisors (100704344832).

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

34488050688 is a wasteful number, since it uses less digits than its factorization.

34488050688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 34488050688 in words is "thirty-four billion, four hundred eighty-eight million, fifty thousand, six hundred eighty-eight".