34014435125 has 96 divisors (see below), whose sum is σ = 50263784064. Its totient is φ = 22712256000.

The previous prime is 34014435097. The next prime is 34014435127. The reversal of 34014435125 is 52153441043.

It is not a de Polignac number, because 34014435125 - 2⁶ = 34014435061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34014435091 and 34014435100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014435127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43219982 + ... + 43220768.

It is an arithmetic number, because the mean of its divisors is an integer number (523581084).

Almost surely, 2^34014435125 is an apocalyptic number.

It is an amenable number.

34014435125 is a deficient number, since it is larger than the sum of its proper divisors (16249348939).

34014435125 is a wasteful number, since it uses less digits than its factorization.

34014435125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 34014435125 its reverse (52153441043), we get a palindrome (86167876168).

The spelling of 34014435125 in words is "thirty-four billion, fourteen million, four hundred thirty-five thousand, one hundred twenty-five".