34414441402100 has 72 divisors (see below), whose sum is σ = 74716269962040. Its totient is φ = 13758970682880.

The previous prime is 34414441402097. The next prime is 34414441402109. The reversal of 34414441402100 is 120414441443.

It can be written as a sum of positive squares in 12 ways, for example, as 876953585764 + 33537487816336 = 936458^2 + 5791156^2 .

It is a super-2 number, since 2×34414441402100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414441402109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396268634 + ... + 3396278766.

It is an arithmetic number, because the mean of its divisors is an integer number (1037725971695).

Almost surely, 2^{34414441402100} is an apocalyptic number.

It is an amenable number.

34414441402100 is an abundant number, since it is smaller than the sum of its proper divisors (40301828559940).

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

34414441402100 is a wasteful number, since it uses less digits than its factorization.

34414441402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23589 (or 23582 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 34414441402100 its reverse (120414441443), we get a palindrome (34534855843543).

The spelling of 34414441402100 in words is "thirty-four trillion, four hundred fourteen billion, four hundred forty-one million, four hundred two thousand, one hundred".