34460307126 has 72 divisors (see below), whose sum is σ = 86900911344. Its totient is φ = 9840489120.

The previous prime is 34460307061. The next prime is 34460307143. The reversal of 34460307126 is 62170306443.

It is a happy number.

34460307126 is a `hidden beast` number, since 3 + 44 + 603 + 0 + 7 + 1 + 2 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1801231 + ... + 1820261.

It is an arithmetic number, because the mean of its divisors is an integer number (1206957102).

Almost surely, 2^34460307126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34460307126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43450455672).

34460307126 is an abundant number, since it is smaller than the sum of its proper divisors (52440604218).

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

34460307126 is a wasteful number, since it uses less digits than its factorization.

34460307126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21106 (or 21096 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34460307126 in words is "thirty-four billion, four hundred sixty million, three hundred seven thousand, one hundred twenty-six".