34518633136 has 80 divisors (see below), whose sum is σ = 73075885344. Its totient is φ = 15700672512.

The previous prime is 34518633119. The next prime is 34518633139. The reversal of 34518633136 is 63133681543.

It is a junction number, because it is equal to n+sod(n) for n = 34518633092 and 34518633101.

It is not an unprimeable number, because it can be changed into a prime (34518633139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4380496 + ... + 4388368.

Almost surely, 2^34518633136 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 34518633136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36537942672).

34518633136 is an abundant number, since it is smaller than the sum of its proper divisors (38557252208).

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

34518633136 is a wasteful number, since it uses less digits than its factorization.

34518633136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8192 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The spelling of 34518633136 in words is "thirty-four billion, five hundred eighteen million, six hundred thirty-three thousand, one hundred thirty-six".