34750228968 has 288 divisors, whose sum is σ = 119712902400. Its totient is φ = 8867646720.

The previous prime is 34750228957. The next prime is 34750228987. The reversal of 34750228968 is 86982205743.

34750228968 is a `hidden beast` number, since 3 + 47 + 502 + 2 + 8 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6293713 + ... + 6299231.

It is an arithmetic number, because the mean of its divisors is an integer number (415669800).

Almost surely, 2^34750228968 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 34750228968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59856451200).

34750228968 is an abundant number, since it is smaller than the sum of its proper divisors (84962673432).

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

34750228968 is a wasteful number, since it uses less digits than its factorization.

34750228968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 34750228968 in words is "thirty-four billion, seven hundred fifty million, two hundred twenty-eight thousand, nine hundred sixty-eight".