34271330688 has 640 divisors, whose sum is σ = 124407360000. Its totient is φ = 9343724544.

The previous prime is 34271330647. The next prime is 34271330689. The reversal of 34271330688 is 88603317243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34271330689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81792943 + ... + 81793361.

It is an arithmetic number, because the mean of its divisors is an integer number (194386500).

Almost surely, 2^34271330688 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 34271330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680000).

34271330688 is an abundant number, since it is smaller than the sum of its proper divisors (90136029312).

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

34271330688 is an equidigital number, since it uses as much as digits as its factorization.

34271330688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34271330688 in words is "thirty-four billion, two hundred seventy-one million, three hundred thirty thousand, six hundred eighty-eight".