34095235140 has 72 divisors (see below), whose sum is σ = 108865498560. Its totient is φ = 8613532224.

The previous prime is 34095235133. The next prime is 34095235151. The reversal of 34095235140 is 4153259043.

34095235140 is a `hidden beast` number, since 3 + 40 + 9 + 523 + 51 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34095235095 and 34095235104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4981264 + ... + 4988103.

Almost surely, 2^34095235140 is an apocalyptic number.

34095235140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34095235140 is an abundant number, since it is smaller than the sum of its proper divisors (74770263420).

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

34095235140 is a wasteful number, since it uses less digits than its factorization.

34095235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969401 (or 9969396 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 34095235140 in words is "thirty-four billion, ninety-five million, two hundred thirty-five thousand, one hundred forty".