34405312552 has 128 divisors (see below), whose sum is σ = 74708121600. Its totient is φ = 14732928000.

The previous prime is 34405312549. The next prime is 34405312567. The reversal of 34405312552 is 25521350443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14116678 + ... + 14119114.

It is an arithmetic number, because the mean of its divisors is an integer number (583657200).

Almost surely, 2^34405312552 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 34405312552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37354060800).

34405312552 is an abundant number, since it is smaller than the sum of its proper divisors (40302809048).

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

34405312552 is a wasteful number, since it uses less digits than its factorization.

34405312552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 34405312552 its reverse (25521350443), we get a palindrome (59926662995).

The spelling of 34405312552 in words is "thirty-four billion, four hundred five million, three hundred twelve thousand, five hundred fifty-two".