34125936 has 80 divisors (see below), whose sum is σ = 100556064. Its totient is φ = 9879552.

The previous prime is 34125929. The next prime is 34125941. The reversal of 34125936 is 63952143.

It is a junction number, because it is equal to n+sod(n) for n = 34125897 and 34125906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9000 + ... + 12216.

Almost surely, 2^34125936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34125936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50278032).

34125936 is an abundant number, since it is smaller than the sum of its proper divisors (66430128).

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

34125936 is a wasteful number, since it uses less digits than its factorization.

34125936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3252 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 34125936 is about 5841.7408364288. The cubic root of 34125936 is about 324.3606713649.

It can be divided in two parts, 34 and 125936, that multiplied together give a palindrome (4281824).

The spelling of 34125936 in words is "thirty-four million, one hundred twenty-five thousand, nine hundred thirty-six".