34041035 has 32 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 22301664.

The previous prime is 34041023. The next prime is 34041061. The reversal of 34041035 is 53014043.

34041035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34041035 - 2¹² = 34036939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34040998 and 34041016.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 39014 + ... + 39876.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 2^34041035 is an apocalyptic number.

34041035 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34041035 is a deficient number, since it is larger than the sum of its proper divisors (15725365).

34041035 is an equidigital number, since it uses as much as digits as its factorization.

34041035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34041035 is about 5834.4695560094. The cubic root of 34041035 is about 324.0914585835.

Adding to 34041035 its reverse (53014043), we get a palindrome (87055078).

The spelling of 34041035 in words is "thirty-four million, forty-one thousand, thirty-five".