34750448928 has 240 divisors, whose sum is σ = 110307859200. Its totient is φ = 10668547584.

The previous prime is 34750448927. The next prime is 34750448933. The reversal of 34750448928 is 82984405743.

34750448928 is a `hidden beast` number, since 3 + 4 + 7 + 504 + 48 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34750448927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20452623 + ... + 20454321.

It is an arithmetic number, because the mean of its divisors is an integer number (459616080).

Almost surely, 2^34750448928 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 34750448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55153929600).

34750448928 is an abundant number, since it is smaller than the sum of its proper divisors (75557410272).

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

34750448928 is a wasteful number, since it uses less digits than its factorization.

34750448928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 34750448928 in words is "thirty-four billion, seven hundred fifty million, four hundred forty-eight thousand, nine hundred twenty-eight".