34432442342304 has 48 divisors (see below), whose sum is σ = 92828003351328. Its totient is φ = 11167278596352.

The previous prime is 34432442342303. The next prime is 34432442342317. The reversal of 34432442342304 is 40324324423443.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34432442342303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4846905562 + ... + 4846912665.

It is an arithmetic number, because the mean of its divisors is an integer number (1933916736486).

Almost surely, 2^{34432442342304} is an apocalyptic number.

It is an amenable number.

34432442342304 is an abundant number, since it is smaller than the sum of its proper divisors (58395561009024).

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

34432442342304 is a wasteful number, since it uses less digits than its factorization.

34432442342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9693818277 (or 9693818269 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 42.

Adding to 34432442342304 its reverse (40324324423443), we get a palindrome (74756766765747).

The spelling of 34432442342304 in words is "thirty-four trillion, four hundred thirty-two billion, four hundred forty-two million, three hundred forty-two thousand, three hundred four".