34203300314136 has 256 divisors, whose sum is σ = 97009385356800. Its totient is φ = 9985122902016.

The previous prime is 34203300314081. The next prime is 34203300314137. The reversal of 34203300314136 is 63141300330243.

It is a junction number, because it is equal to n+sod(n) for n = 34203300314097 and 34203300314106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34203300314137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111157330 + ... + 111464606.

It is an arithmetic number, because the mean of its divisors is an integer number (378942911550).

Almost surely, 2^{34203300314136} 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 34203300314136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48504692678400).

34203300314136 is an abundant number, since it is smaller than the sum of its proper divisors (62806085042664).

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

34203300314136 is a wasteful number, since it uses less digits than its factorization.

34203300314136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307578 (or 307574 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 34203300314136 its reverse (63141300330243), we get a palindrome (97344600644379).

The spelling of 34203300314136 in words is "thirty-four trillion, two hundred three billion, three hundred million, three hundred fourteen thousand, one hundred thirty-six".