34004045526 has 128 divisors (see below), whose sum is σ = 80845516800. Its totient is φ = 9426130560.

The previous prime is 34004045501. The next prime is 34004045527. The reversal of 34004045526 is 62554040043.

It is a super-2 number, since 2×34004045526² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004045527) 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, 4706745 + ... + 4713963.

It is an arithmetic number, because the mean of its divisors is an integer number (631605600).

Almost surely, 2^34004045526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34004045526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40422758400).

34004045526 is an abundant number, since it is smaller than the sum of its proper divisors (46841471274).

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

34004045526 is a wasteful number, since it uses less digits than its factorization.

34004045526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394.

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 34004045526 its reverse (62554040043), we get a palindrome (96558085569).

The spelling of 34004045526 in words is "thirty-four billion, four million, forty-five thousand, five hundred twenty-six".