34138335 has 48 divisors (see below), whose sum is σ = 68640768. Its totient is φ = 14182080.

The previous prime is 34138331. The next prime is 34138339. The reversal of 34138335 is 53383143.

34138335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34138331) and next prime (34138339).

It is not a de Polignac number, because 34138335 - 2² = 34138331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34138331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11362 + ... + 14048.

It is an arithmetic number, because the mean of its divisors is an integer number (1430016).

Almost surely, 2^34138335 is an apocalyptic number.

34138335 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34138335 is an abundant number, since it is smaller than the sum of its proper divisors (34502433).

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

34138335 is a wasteful number, since it uses less digits than its factorization.

34138335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2713 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 34138335 is about 5842.8019819261. The cubic root of 34138335 is about 324.3999500041.

The spelling of 34138335 in words is "thirty-four million, one hundred thirty-eight thousand, three hundred thirty-five".