34008516 has 36 divisors (see below), whose sum is σ = 88066524. Its totient is φ = 11059200.

The previous prime is 34008511. The next prime is 34008523. The reversal of 34008516 is 61580043.

It can be written as a sum of positive squares in 2 ways, for example, as 3802500 + 30206016 = 1950^2 + 5496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34008516.

It is not an unprimeable number, because it can be changed into a prime (34008511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10045 + ... + 12996.

Almost surely, 2^34008516 is an apocalyptic number.

34008516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34008516 is an abundant number, since it is smaller than the sum of its proper divisors (54058008).

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

34008516 is a wasteful number, since it uses less digits than its factorization.

34008516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23092 (or 23087 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 34008516 is about 5831.6820901006. The cubic root of 34008516 is about 323.9882254523.

Adding to 34008516 its reverse (61580043), we get a palindrome (95588559).

The spelling of 34008516 in words is "thirty-four million, eight thousand, five hundred sixteen".