34251733134 has 48 divisors (see below), whose sum is σ = 77089961520. Its totient is φ = 10977765120.

The previous prime is 34251733133. The next prime is 34251733141. The reversal of 34251733134 is 43133715243.

34251733134 is a `hidden beast` number, since 3 + 4 + 2 + 517 + 3 + 3 + 134 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34251733133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10332 + ... + 261935.

It is an arithmetic number, because the mean of its divisors is an integer number (1606040865).

Almost surely, 2^34251733134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34251733134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38544980760).

34251733134 is an abundant number, since it is smaller than the sum of its proper divisors (42838228386).

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

34251733134 is a wasteful number, since it uses less digits than its factorization.

34251733134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272545 (or 272542 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The spelling of 34251733134 in words is "thirty-four billion, two hundred fifty-one million, seven hundred thirty-three thousand, one hundred thirty-four".