34131825735 has 32 divisors (see below), whose sum is σ = 66083807232. Its totient is φ = 14685288960.

The previous prime is 34131825697. The next prime is 34131825743. The reversal of 34131825735 is 53752813143.

It is not a de Polignac number, because 34131825735 - 2⁶ = 34131825671 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9558951 + ... + 9562520.

It is an arithmetic number, because the mean of its divisors is an integer number (2065118976).

Almost surely, 2^34131825735 is an apocalyptic number.

34131825735 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34131825735 is a deficient number, since it is larger than the sum of its proper divisors (31951981497).

34131825735 is a wasteful number, since it uses less digits than its factorization.

34131825735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19121503.

The product of its digits is 302400, while the sum is 42.

The spelling of 34131825735 in words is "thirty-four billion, one hundred thirty-one million, eight hundred twenty-five thousand, seven hundred thirty-five".