34512516 has 36 divisors (see below), whose sum is σ = 92373372. Its totient is φ = 10827264.

The previous prime is 34512497. The next prime is 34512539. The reversal of 34512516 is 61521543.

It can be written as a sum of positive squares in 2 ways, for example, as 19766916 + 14745600 = 4446^2 + 3840^2 .

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

It is a super-2 number, since 2×34512516² = 2382227521300512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34512516.

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 11 ways as a sum of consecutive naturals, for example, 27585 + ... + 28808.

It is an arithmetic number, because the mean of its divisors is an integer number (2565927).

Almost surely, 2^34512516 is an apocalyptic number.

34512516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34512516 is an abundant number, since it is smaller than the sum of its proper divisors (57860856).

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

34512516 is a wasteful number, since it uses less digits than its factorization.

34512516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56420 (or 56415 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 34512516 is about 5874.7353982967. The cubic root of 34512516 is about 325.5808657487.

The spelling of 34512516 in words is "thirty-four million, five hundred twelve thousand, five hundred sixteen".