3012807233536 has 117 divisors (see below), whose sum is σ = 6200573574951. Its totient is φ = 1463690428416.

The previous prime is 3012807233507. The next prime is 3012807233563. The reversal of 3012807233536 is 6353327082103.

It is a happy number.

The square root of 3012807233536 is 1735744.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2374853595136 + 637953638400 = 1541056^2 + 798720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3012807233492 and 3012807233501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4110241426 + ... + 4110242158.

Almost surely, 2^{3012807233536} is an apocalyptic number.

3012807233536 is the 1735744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012807233536

3012807233536 is an abundant number, since it is smaller than the sum of its proper divisors (3187766341415).

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

3012807233536 is an frugal number, since it uses more digits than its factorization.

3012807233536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 3012807233536 in words is "three trillion, twelve billion, eight hundred seven million, two hundred thirty-three thousand, five hundred thirty-six".