34022352005504 has 128 divisors (see below), whose sum is σ = 70828511201280. Its totient is φ = 16259438407680.

The previous prime is 34022352005503. The next prime is 34022352005513. The reversal of 34022352005504 is 40550025322043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34022352005503) 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, 1336135877 + ... + 1336161339.

It is an arithmetic number, because the mean of its divisors is an integer number (553347743760).

Almost surely, 2^{34022352005504} 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 34022352005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414255600640).

34022352005504 is an abundant number, since it is smaller than the sum of its proper divisors (36806159195776).

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

34022352005504 is a wasteful number, since it uses less digits than its factorization.

34022352005504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29648 (or 29636 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 34022352005504 its reverse (40550025322043), we get a palindrome (74572377327547).

The spelling of 34022352005504 in words is "thirty-four trillion, twenty-two billion, three hundred fifty-two million, five thousand, five hundred four".