34338011136 has 768 divisors, whose sum is σ = 120860812800. Its totient is φ = 8564244480.

The previous prime is 34338011077. The next prime is 34338011137. The reversal of 34338011136 is 63111083343.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34338011097 and 34338011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34338011137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1807263735 + ... + 1807263753.

It is an arithmetic number, because the mean of its divisors is an integer number (157370850).

Almost surely, 2^34338011136 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 34338011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60430406400).

34338011136 is an abundant number, since it is smaller than the sum of its proper divisors (86522801664).

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

34338011136 is a wasteful number, since it uses less digits than its factorization.

34338011136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 34338011136 its reverse (63111083343), we get a palindrome (97449094479).

The spelling of 34338011136 in words is "thirty-four billion, three hundred thirty-eight million, eleven thousand, one hundred thirty-six".