34931284128 has 96 divisors (see below), whose sum is σ = 109720094400. Its totient is φ = 10748083968.

The previous prime is 34931284121. The next prime is 34931284133. The reversal of 34931284128 is 82148213943.

34931284128 is a `hidden beast` number, since 349 + 3 + 1 + 284 + 1 + 28 = 666.

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

It is a super-2 number, since 2×34931284128² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34931284121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543758 + ... + 1566221.

It is an arithmetic number, because the mean of its divisors is an integer number (1142917650).

Almost surely, 2^34931284128 is an apocalyptic number.

It is an amenable number.

34931284128 is an abundant number, since it is smaller than the sum of its proper divisors (74788810272).

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

34931284128 is a wasteful number, since it uses less digits than its factorization.

34931284128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110011 (or 3109997 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 34931284128 in words is "thirty-four billion, nine hundred thirty-one million, two hundred eighty-four thousand, one hundred twenty-eight".