34005305424 has 80 divisors (see below), whose sum is σ = 89213258240. Its totient is φ = 11159026560.

The previous prime is 34005305417. The next prime is 34005305429. The reversal of 34005305424 is 42450350043.

It is a junction number, because it is equal to n+sod(n) for n = 34005305391 and 34005305400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005305429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9552957 + ... + 9556515.

It is an arithmetic number, because the mean of its divisors is an integer number (1115165728).

Almost surely, 2^34005305424 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 34005305424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44606629120).

34005305424 is an abundant number, since it is smaller than the sum of its proper divisors (55207952816).

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

34005305424 is a wasteful number, since it uses less digits than its factorization.

34005305424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34005305424 its reverse (42450350043), we get a palindrome (76455655467).

The spelling of 34005305424 in words is "thirty-four billion, five million, three hundred five thousand, four hundred twenty-four".