34811692128 has 144 divisors (see below), whose sum is σ = 102722518080. Its totient is φ = 11173552128.

The previous prime is 34811692127. The next prime is 34811692129. The reversal of 34811692128 is 82129611843.

34811692128 is a `hidden beast` number, since 3 + 481 + 169 + 2 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34811692127) and next prime (34811692129).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×34811692128³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34811692127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016793 + ... + 1050471.

It is an arithmetic number, because the mean of its divisors is an integer number (713350820).

Almost surely, 2^34811692128 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 34811692128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51361259040).

34811692128 is an abundant number, since it is smaller than the sum of its proper divisors (67910825952).

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

34811692128 is a wasteful number, since it uses less digits than its factorization.

34811692128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33829 (or 33818 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 34811692128 in words is "thirty-four billion, eight hundred eleven million, six hundred ninety-two thousand, one hundred twenty-eight".