34546885128 has 192 divisors, whose sum is σ = 117507096000. Its totient is φ = 9350982144.

The previous prime is 34546885091. The next prime is 34546885141. The reversal of 34546885128 is 82158864543.

34546885128 is a `hidden beast` number, since 3 + 4 + 5 + 46 + 88 + 512 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115200 + ... + 286992.

It is an arithmetic number, because the mean of its divisors is an integer number (612016125).

Almost surely, 2^34546885128 is an apocalyptic number.

34546885128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34546885128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58753548000).

34546885128 is an abundant number, since it is smaller than the sum of its proper divisors (82960210872).

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

34546885128 is a wasteful number, since it uses less digits than its factorization.

34546885128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171841 (or 171824 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 34546885128 in words is "thirty-four billion, five hundred forty-six million, eight hundred eighty-five thousand, one hundred twenty-eight".