34121375564736 has 224 divisors, whose sum is σ = 94490423769600. Its totient is φ = 10846313533440.

The previous prime is 34121375564693. The next prime is 34121375564797. The reversal of 34121375564736 is 63746557312143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3325989175 + ... + 3325999433.

Almost surely, 2^{34121375564736} 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 34121375564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47245211884800).

34121375564736 is an abundant number, since it is smaller than the sum of its proper divisors (60369048204864).

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

34121375564736 is a wasteful number, since it uses less digits than its factorization.

34121375564736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507 (or 12497 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 57.

The spelling of 34121375564736 in words is "thirty-four trillion, one hundred twenty-one billion, three hundred seventy-five million, five hundred sixty-four thousand, seven hundred thirty-six".