34520144000 has 256 divisors, whose sum is σ = 88285822560. Its totient is φ = 13418496000.

The previous prime is 34520143927. The next prime is 34520144027. The reversal of 34520144000 is 44102543.

It can be written as a sum of positive squares in 16 ways, for example, as 29840489536 + 4679654464 = 172744^2 + 68408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110287844 + ... + 110288156.

Almost surely, 2^34520144000 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 34520144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44142911280).

34520144000 is an abundant number, since it is smaller than the sum of its proper divisors (53765678560).

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

34520144000 is a wasteful number, since it uses less digits than its factorization.

34520144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 34520144000 its reverse (44102543), we get a palindrome (34564246543).

The spelling of 34520144000 in words is "thirty-four billion, five hundred twenty million, one hundred forty-four thousand".