34136392752 has 240 divisors, whose sum is σ = 121129032960. Its totient is φ = 8716147200.

The previous prime is 34136392709. The next prime is 34136392783. The reversal of 34136392752 is 25729363143.

34136392752 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 639 + 2 + 7 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34136392698 and 34136392707.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628102 + ... + 680282.

It is an arithmetic number, because the mean of its divisors is an integer number (504704304).

Almost surely, 2^34136392752 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 34136392752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60564516480).

34136392752 is an abundant number, since it is smaller than the sum of its proper divisors (86992640208).

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

34136392752 is a wasteful number, since it uses less digits than its factorization.

34136392752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52272 (or 52263 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 34136392752 in words is "thirty-four billion, one hundred thirty-six million, three hundred ninety-two thousand, seven hundred fifty-two".