34004334432444 has 48 divisors (see below), whose sum is σ = 79756316021760. Its totient is φ = 11275799454720.

The previous prime is 34004334432401. The next prime is 34004334432449. The reversal of 34004334432444 is 44423443340043.

It is a super-2 number, since 2×34004334432444² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34004334432396 and 34004334432405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004334432449) 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, 125695477 + ... + 125965715.

It is an arithmetic number, because the mean of its divisors is an integer number (1661589917120).

Almost surely, 2^{34004334432444} is an apocalyptic number.

It is an amenable number.

34004334432444 is an abundant number, since it is smaller than the sum of its proper divisors (45751981589316).

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

34004334432444 is a wasteful number, since it uses less digits than its factorization.

34004334432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324770 (or 324768 counting only the distinct ones).

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

Adding to 34004334432444 its reverse (44423443340043), we get a palindrome (78427777772487).

The spelling of 34004334432444 in words is "thirty-four trillion, four billion, three hundred thirty-four million, four hundred thirty-two thousand, four hundred forty-four".