34164056432 has 80 divisors (see below), whose sum is σ = 72721131264. Its totient is φ = 15419712000.

The previous prime is 34164056431. The next prime is 34164056441. The reversal of 34164056432 is 23465046143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164056431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16368893 + ... + 16370979.

Almost surely, 2^34164056432 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 34164056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36360565632).

34164056432 is an abundant number, since it is smaller than the sum of its proper divisors (38557074832).

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

34164056432 is a wasteful number, since it uses less digits than its factorization.

34164056432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 34164056432 in words is "thirty-four billion, one hundred sixty-four million, fifty-six thousand, four hundred thirty-two".