34531333641 has 80 divisors (see below), whose sum is σ = 60202289664. Its totient is φ = 19315760256.

The previous prime is 34531333637. The next prime is 34531333643. The reversal of 34531333641 is 14633313543.

34531333641 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 1 + 3 + 3 + 3 + 641 = 666.

It is not a de Polignac number, because 34531333641 - 2² = 34531333637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34531333596 and 34531333605.

It is not an unprimeable number, because it can be changed into a prime (34531333643) 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 79 ways as a sum of consecutive naturals, for example, 16737376 + ... + 16739438.

Almost surely, 2^34531333641 is an apocalyptic number.

It is an amenable number.

34531333641 is a deficient number, since it is larger than the sum of its proper divisors (25670956023).

34531333641 is a wasteful number, since it uses less digits than its factorization.

34531333641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2683 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The spelling of 34531333641 in words is "thirty-four billion, five hundred thirty-one million, three hundred thirty-three thousand, six hundred forty-one".