34561337344 has 48 divisors (see below), whose sum is σ = 69172658100. Its totient is φ = 17263951872.

The previous prime is 34561337339. The next prime is 34561337347. The reversal of 34561337344 is 44373316543.

It can be written as a sum of positive squares in 2 ways, for example, as 33962066944 + 599270400 = 184288^2 + 24480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34561337344.

It is not an unprimeable number, because it can be changed into a prime (34561337347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2263624 + ... + 2278840.

Almost surely, 2^34561337344 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 34561337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34586329050).

34561337344 is an abundant number, since it is smaller than the sum of its proper divisors (34611320756).

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

34561337344 is a wasteful number, since it uses less digits than its factorization.

34561337344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16348 (or 16328 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 43.

The spelling of 34561337344 in words is "thirty-four billion, five hundred sixty-one million, three hundred thirty-seven thousand, three hundred forty-four".