3434443042100 has 288 divisors, whose sum is σ = 9130443114240. Its totient is φ = 1094542295040.

The previous prime is 3434443042081. The next prime is 3434443042157. The reversal of 3434443042100 is 12403444343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 603696056 + ... + 603701744.

It is an arithmetic number, because the mean of its divisors is an integer number (31702927480).

Almost surely, 2^{3434443042100} 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 3434443042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565221557120).

3434443042100 is an abundant number, since it is smaller than the sum of its proper divisors (5696000072140).

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

3434443042100 is a wasteful number, since it uses less digits than its factorization.

3434443042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347 (or 6340 counting only the distinct ones).

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

Adding to 3434443042100 its reverse (12403444343), we get a palindrome (3446846486443).

The spelling of 3434443042100 in words is "three trillion, four hundred thirty-four billion, four hundred forty-three million, forty-two thousand, one hundred".