34000424000 has 336 divisors, whose sum is σ = 90791818416. Its totient is φ = 12607488000.

The previous prime is 34000423991. The next prime is 34000424011. The reversal of 34000424000 is 42400043.

It can be written as a sum of positive squares in 8 ways, for example, as 25375215616 + 8625208384 = 159296^2 + 92872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34000424000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176167904 + ... + 176168096.

Almost surely, 2^34000424000 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 34000424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45395909208).

34000424000 is an abundant number, since it is smaller than the sum of its proper divisors (56791394416).

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

34000424000 is a wasteful number, since it uses less digits than its factorization.

34000424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 34000424000 its reverse (42400043), we get a palindrome (34042824043).

The spelling of 34000424000 in words is "thirty-four billion, four hundred twenty-four thousand".