34434043488 has 480 divisors, whose sum is σ = 113876642880. Its totient is φ = 10137415680.

The previous prime is 34434043433. The next prime is 34434043489. The reversal of 34434043488 is 88434043443.

It is a super-2 number, since 2×34434043488² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434043489) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88519198 + ... + 88519586.

It is an arithmetic number, because the mean of its divisors is an integer number (237243006).

Almost surely, 2^34434043488 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 34434043488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56938321440).

34434043488 is an abundant number, since it is smaller than the sum of its proper divisors (79442599392).

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

34434043488 is a wasteful number, since it uses less digits than its factorization.

34434043488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

Subtracting from 34434043488 its sum of digits (45), we obtain a palindrome (34434043443).

The spelling of 34434043488 in words is "thirty-four billion, four hundred thirty-four million, forty-three thousand, four hundred eighty-eight".