34424343402100 has 144 divisors (see below), whose sum is σ = 78148111700736. Its totient is φ = 13137379200000.

The previous prime is 34424343402083. The next prime is 34424343402107. The reversal of 34424343402100 is 120434342443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34424343402107) 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 47 ways as a sum of consecutive naturals, for example, 3824497600 + ... + 3824506600.

It is an arithmetic number, because the mean of its divisors is an integer number (542695220144).

Almost surely, 2^{34424343402100} 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 34424343402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39074055850368).

34424343402100 is an abundant number, since it is smaller than the sum of its proper divisors (43723768298636).

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

34424343402100 is a wasteful number, since it uses less digits than its factorization.

34424343402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 34424343402100 its reverse (120434342443), we get a palindrome (34544777744543).

The spelling of 34424343402100 in words is "thirty-four trillion, four hundred twenty-four billion, three hundred forty-three million, four hundred two thousand, one hundred".