34004020 has 24 divisors (see below), whose sum is σ = 71724744. Its totient is φ = 13541376.

The previous prime is 34004017. The next prime is 34004071. The reversal of 34004020 is 2040043.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 33779344 = 474^2 + 5812^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012 + ... + 8308.

It is an arithmetic number, because the mean of its divisors is an integer number (2988531).

Almost surely, 2^34004020 is an apocalyptic number.

It is an amenable number.

34004020 is an abundant number, since it is smaller than the sum of its proper divisors (37720724).

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

34004020 is a wasteful number, since it uses less digits than its factorization.

34004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7539 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 34004020 is about 5831.2965968128. The cubic root of 34004020 is about 323.9739475064.

Adding to 34004020 its reverse (2040043), we get a palindrome (36044063).

The spelling of 34004020 in words is "thirty-four million, four thousand, twenty".