34004033336 has 192 divisors, whose sum is σ = 85608290880. Its totient is φ = 12517908480.

The previous prime is 34004033333. The next prime is 34004033341. The reversal of 34004033336 is 63333040043.

It is a junction number, because it is equal to n+sod(n) for n = 34004033299 and 34004033308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004033333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4332776 + ... + 4340616.

It is an arithmetic number, because the mean of its divisors is an integer number (445876515).

Almost surely, 2^34004033336 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 34004033336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42804145440).

34004033336 is an abundant number, since it is smaller than the sum of its proper divisors (51604257544).

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

34004033336 is a wasteful number, since it uses less digits than its factorization.

34004033336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 34004033336 its reverse (63333040043), we get a palindrome (97337073379).

The spelling of 34004033336 in words is "thirty-four billion, four million, thirty-three thousand, three hundred thirty-six".