33979502689636 has 81 divisors (see below), whose sum is σ = 69509608499289. Its totient is φ = 14492029153728.

The previous prime is 33979502689607. The next prime is 33979502689667. The reversal of 33979502689636 is 63698620597933.

The square root of 33979502689636 is 5829194.

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., 6900551072100 + 27078951617536 = 2626890^2 + 5203744^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19014829935 + ... + 19014831721.

Almost surely, 2^{33979502689636} is an apocalyptic number.

33979502689636 is the 5829194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33979502689636

33979502689636 is an abundant number, since it is smaller than the sum of its proper divisors (35530105809653).

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

33979502689636 is an frugal number, since it uses more digits than its factorization.

33979502689636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 2380855680, while the sum is 76.

The spelling of 33979502689636 in words is "thirty-three trillion, nine hundred seventy-nine billion, five hundred two million, six hundred eighty-nine thousand, six hundred thirty-six".