34174393344 has 1056 divisors, whose sum is σ = 135137372160. Its totient is φ = 8302362624.

The previous prime is 34174393321. The next prime is 34174393367. The reversal of 34174393344 is 44339347143.

It is an interprime number because it is at equal distance from previous prime (34174393321) and next prime (34174393367).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34174393344.

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 95 ways as a sum of consecutive naturals, for example, 727114729 + ... + 727114775.

Almost surely, 2^34174393344 is an apocalyptic number.

34174393344 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 34174393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568686080).

34174393344 is an abundant number, since it is smaller than the sum of its proper divisors (100962978816).

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

34174393344 is a wasteful number, since it uses less digits than its factorization.

34174393344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The spelling of 34174393344 in words is "thirty-four billion, one hundred seventy-four million, three hundred ninety-three thousand, three hundred forty-four".