34242512421104 has 80 divisors (see below), whose sum is σ = 71931436093440. Its totient is φ = 15697623217920.

The previous prime is 34242512421083. The next prime is 34242512421127. The reversal of 34242512421104 is 40112421524243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25526789 + ... + 26834715.

It is an arithmetic number, because the mean of its divisors is an integer number (899142951168).

Almost surely, 2^{34242512421104} 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 34242512421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35965718046720).

34242512421104 is an abundant number, since it is smaller than the sum of its proper divisors (37688923672336).

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

34242512421104 is a wasteful number, since it uses less digits than its factorization.

34242512421104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308798 (or 1308792 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 34242512421104 its reverse (40112421524243), we get a palindrome (74354933945347).

The spelling of 34242512421104 in words is "thirty-four trillion, two hundred forty-two billion, five hundred twelve million, four hundred twenty-one thousand, one hundred four".