34000030043430 has 96 divisors (see below), whose sum is σ = 89702212096224. Its totient is φ = 8241552000000.

The previous prime is 34000030043387. The next prime is 34000030043587. The reversal of 34000030043430 is 3434003000043.

It is a super-3 number, since 3×34000030043430³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34000030043430.

It is a congruent number.

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, 33848430 + ... + 34838430.

It is an arithmetic number, because the mean of its divisors is an integer number (934398042669).

Almost surely, 2^{34000030043430} is an apocalyptic number.

34000030043430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000030043430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44851106048112).

34000030043430 is an abundant number, since it is smaller than the sum of its proper divisors (55702182052794).

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

34000030043430 is a wasteful number, since it uses less digits than its factorization.

34000030043430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999494 (or 999483 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34000030043430 its reverse (3434003000043), we get a palindrome (37434033043473).

The spelling of 34000030043430 in words is "thirty-four trillion, thirty million, forty-three thousand, four hundred thirty".