34112848224 has 192 divisors, whose sum is σ = 112461350400. Its totient is φ = 8996682240.

The previous prime is 34112848169. The next prime is 34112848267. The reversal of 34112848224 is 42284821143.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388219 + ... + 467909.

It is an arithmetic number, because the mean of its divisors is an integer number (585736200).

Almost surely, 2^34112848224 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 34112848224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56230675200).

34112848224 is an abundant number, since it is smaller than the sum of its proper divisors (78348502176).

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

34112848224 is a wasteful number, since it uses less digits than its factorization.

34112848224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79738 (or 79716 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The spelling of 34112848224 in words is "thirty-four billion, one hundred twelve million, eight hundred forty-eight thousand, two hundred twenty-four".