34424313205000 has 80 divisors (see below), whose sum is σ = 80690765049180. Its totient is φ = 13763818464000.

The previous prime is 34424313204901. The next prime is 34424313205001. The reversal of 34424313205000 is 50231342443.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1089556017124 + 33334757187876 = 1043818^2 + 5773626^2 .

It is not an unprimeable number, because it can be changed into a prime (34424313205001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10189462 + ... + 13140538.

Almost surely, 2^{34424313205000} 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 34424313205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40345382524590).

34424313205000 is an abundant number, since it is smaller than the sum of its proper divisors (46266451844180).

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

34424313205000 is a wasteful number, since it uses less digits than its factorization.

34424313205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953436 (or 2953417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 34424313205000 its reverse (50231342443), we get a palindrome (34474544547443).

The spelling of 34424313205000 in words is "thirty-four trillion, four hundred twenty-four billion, three hundred thirteen million, two hundred five thousand".