34055440640 has 144 divisors (see below), whose sum is σ = 88123487088. Its totient is φ = 12534939648.

The previous prime is 34055440637. The next prime is 34055440669. The reversal of 34055440640 is 4604455043.

It can be written as a sum of positive squares in 8 ways, for example, as 738969856 + 33316470784 = 27184^2 + 182528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34055440640.

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, 5604644 + ... + 5610716.

Almost surely, 2^34055440640 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 34055440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44061743544).

34055440640 is an abundant number, since it is smaller than the sum of its proper divisors (54068046448).

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

34055440640 is a wasteful number, since it uses less digits than its factorization.

34055440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 34055440640 its reverse (4604455043), we get a palindrome (38659895683).

The spelling of 34055440640 in words is "thirty-four billion, fifty-five million, four hundred forty thousand, six hundred forty".