34871920128 has 240 divisors, whose sum is σ = 103333230000. Its totient is φ = 11317542912.

The previous prime is 34871920091. The next prime is 34871920151. The reversal of 34871920128 is 82102917843.

It is a happy number.

It is a super-2 number, since 2×34871920128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 27919248 + ... + 27920496.

It is an arithmetic number, because the mean of its divisors is an integer number (430555125).

Almost surely, 2^34871920128 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 34871920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51666615000).

34871920128 is an abundant number, since it is smaller than the sum of its proper divisors (68461309872).

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

34871920128 is a wasteful number, since it uses less digits than its factorization.

34871920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 34871920128 in words is "thirty-four billion, eight hundred seventy-one million, nine hundred twenty thousand, one hundred twenty-eight".