34504013004104 has 96 divisors (see below), whose sum is σ = 76104526095360. Its totient is φ = 14621923814400.

The previous prime is 34504013004101. The next prime is 34504013004119. The reversal of 34504013004104 is 40140031040543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34504013004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11123864 + ... + 13883384.

It is an arithmetic number, because the mean of its divisors is an integer number (792755480160).

Almost surely, 2^{34504013004104} 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 34504013004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38052263047680).

34504013004104 is an abundant number, since it is smaller than the sum of its proper divisors (41600513091256).

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

34504013004104 is a wasteful number, since it uses less digits than its factorization.

34504013004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759899 (or 2759888 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 34504013004104 its reverse (40140031040543), we get a palindrome (74644044044647).

The spelling of 34504013004104 in words is "thirty-four trillion, five hundred four billion, thirteen million, four thousand, one hundred four".