34532045584 has 15 divisors (see below), whose sum is σ = 66907278517. Its totient is φ = 17265651136.

The previous prime is 34532045567. The next prime is 34532045593. The reversal of 34532045584 is 48554023543.

The square root of 34532045584 is 185828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29015715600 + 5516329984 = 170340^2 + 74272^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34532045584.

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 2 ways as a sum of consecutive naturals, for example, 720084 + ... + 766540.

Almost surely, 2^34532045584 is an apocalyptic number.

34532045584 is the 185828-th square number.

It is an amenable number.

34532045584 is a deficient number, since it is larger than the sum of its proper divisors (32375232933).

34532045584 is an frugal number, since it uses more digits than its factorization.

34532045584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92922 (or 46459 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

The spelling of 34532045584 in words is "thirty-four billion, five hundred thirty-two million, forty-five thousand, five hundred eighty-four".