34004004430004 has 24 divisors (see below), whose sum is σ = 68240118121728. Its totient is φ = 14523407056800.

The previous prime is 34004004429973. The next prime is 34004004430021. The reversal of 34004004430004 is 40003440040043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2072395772 + ... + 2072412179.

It is an arithmetic number, because the mean of its divisors is an integer number (2843338255072).

Almost surely, 2^{34004004430004} is an apocalyptic number.

It is an amenable number.

34004004430004 is an abundant number, since it is smaller than the sum of its proper divisors (34236113691724).

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

34004004430004 is a wasteful number, since it uses less digits than its factorization.

34004004430004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144808255 (or 4144808253 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 34004004430004 its reverse (40003440040043), we get a palindrome (74007444470047).

The spelling of 34004004430004 in words is "thirty-four trillion, four billion, four million, four hundred thirty thousand, four".