34124882688 has 216 divisors, whose sum is σ = 109885955088. Its totient is φ = 10499715072.

The previous prime is 34124882657. The next prime is 34124882713. The reversal of 34124882688 is 88628842143.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787606 + ... + 829802.

Almost surely, 2^34124882688 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 34124882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54942977544).

34124882688 is an abundant number, since it is smaller than the sum of its proper divisors (75761072400).

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

34124882688 is an equidigital number, since it uses as much as digits as its factorization.

34124882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42241 (or 42215 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 34124882688 in words is "thirty-four billion, one hundred twenty-four million, eight hundred eighty-two thousand, six hundred eighty-eight".