34242254208 has 96 divisors (see below), whose sum is σ = 98675085600. Its totient is φ = 11397934080.

The previous prime is 34242254201. The next prime is 34242254227. The reversal of 34242254208 is 80245224243.

34242254208 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 225 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242254201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807618 + ... + 848958.

It is an arithmetic number, because the mean of its divisors is an integer number (1027865475).

Almost surely, 2^34242254208 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 34242254208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49337542800).

34242254208 is an abundant number, since it is smaller than the sum of its proper divisors (64432831392).

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

34242254208 is a wasteful number, since it uses less digits than its factorization.

34242254208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42080 (or 42065 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 34242254208 in words is "thirty-four billion, two hundred forty-two million, two hundred fifty-four thousand, two hundred eight".