34251331968 has 192 divisors, whose sum is σ = 115039941120. Its totient is φ = 9577774080.

The previous prime is 34251331967. The next prime is 34251331997. The reversal of 34251331968 is 86913315243.

34251331968 is a `hidden beast` number, since 3 + 4 + 251 + 331 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34251331967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333823 + ... + 424193.

It is an arithmetic number, because the mean of its divisors is an integer number (599166360).

Almost surely, 2^34251331968 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 34251331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57519970560).

34251331968 is an abundant number, since it is smaller than the sum of its proper divisors (80788609152).

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

34251331968 is a wasteful number, since it uses less digits than its factorization.

34251331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90445 (or 90430 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 34251331968 in words is "thirty-four billion, two hundred fifty-one million, three hundred thirty-one thousand, nine hundred sixty-eight".