34340434042100 has 144 divisors (see below), whose sum is σ = 75754620144000. Its totient is φ = 13509361152000.

The previous prime is 34340434042099. The next prime is 34340434042121. The reversal of 34340434042100 is 124043404343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5451724751 + ... + 5451731049.

It is an arithmetic number, because the mean of its divisors is an integer number (526073751000).

Almost surely, 2^{34340434042100} 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 34340434042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37877310072000).

34340434042100 is an abundant number, since it is smaller than the sum of its proper divisors (41414186101900).

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

34340434042100 is a wasteful number, since it uses less digits than its factorization.

34340434042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8147 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34340434042100 its reverse (124043404343), we get a palindrome (34464477446443).

The spelling of 34340434042100 in words is "thirty-four trillion, three hundred forty billion, four hundred thirty-four million, forty-two thousand, one hundred".