34510955136 has 128 divisors (see below), whose sum is σ = 107202163200. Its totient is φ = 9630931968.

The previous prime is 34510955131. The next prime is 34510955177. The reversal of 34510955136 is 63155901543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34510955131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33706 + ... + 264873.

It is an arithmetic number, because the mean of its divisors is an integer number (837516900).

Almost surely, 2^34510955136 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 34510955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53601081600).

34510955136 is an abundant number, since it is smaller than the sum of its proper divisors (72691208064).

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

34510955136 is a wasteful number, since it uses less digits than its factorization.

34510955136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298646 (or 298634 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 34510955136 in words is "thirty-four billion, five hundred ten million, nine hundred fifty-five thousand, one hundred thirty-six".