34172789376 has 128 divisors (see below), whose sum is σ = 101326832640. Its totient is φ = 10114513920.

The previous prime is 34172789351. The next prime is 34172789389. The reversal of 34172789376 is 67398727143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87561 + ... + 275703.

It is an arithmetic number, because the mean of its divisors is an integer number (791615880).

Almost surely, 2^34172789376 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 34172789376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50663416320).

34172789376 is an abundant number, since it is smaller than the sum of its proper divisors (67154043264).

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

34172789376 is a wasteful number, since it uses less digits than its factorization.

34172789376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188214 (or 188202 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The spelling of 34172789376 in words is "thirty-four billion, one hundred seventy-two million, seven hundred eighty-nine thousand, three hundred seventy-six".