34172043264 has 336 divisors, whose sum is σ = 108716307840. Its totient is φ = 10569646080.

The previous prime is 34172043263. The next prime is 34172043277. The reversal of 34172043264 is 46234027143.

34172043264 is a `hidden beast` number, since 3 + 417 + 204 + 32 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34172043263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481296349 + ... + 481296419.

It is an arithmetic number, because the mean of its divisors is an integer number (323560440).

Almost surely, 2^34172043264 is an apocalyptic number.

34172043264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34172043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54358153920).

34172043264 is an abundant number, since it is smaller than the sum of its proper divisors (74544264576).

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

34172043264 is an frugal number, since it uses more digits than its factorization.

34172043264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34172043264 in words is "thirty-four billion, one hundred seventy-two million, forty-three thousand, two hundred sixty-four".