34491177344 has 128 divisors (see below), whose sum is σ = 76584668160. Its totient is φ = 15365376000.

The previous prime is 34491177323. The next prime is 34491177353. The reversal of 34491177344 is 44377119443.

It is a happy number.

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

It is a congruent number.

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, 29453879 + ... + 29455049.

It is an arithmetic number, because the mean of its divisors is an integer number (598317720).

Almost surely, 2^34491177344 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 34491177344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38292334080).

34491177344 is an abundant number, since it is smaller than the sum of its proper divisors (42093490816).

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

34491177344 is a wasteful number, since it uses less digits than its factorization.

34491177344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1788 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 47.

The spelling of 34491177344 in words is "thirty-four billion, four hundred ninety-one million, one hundred seventy-seven thousand, three hundred forty-four".