3008781653056 has 63 divisors (see below), whose sum is σ = 6086816363173. Its totient is φ = 1475645300480.

The previous prime is 3008781652997. The next prime is 3008781653083. The reversal of 3008781653056 is 6503561878003.

The square root of 3008781653056 is 1734584.

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., 2169022017600 + 839759635456 = 1472760^2 + 916384^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3008781652994 and 3008781653012.

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, 735461571 + ... + 735465661.

Almost surely, 2^{3008781653056} is an apocalyptic number.

3008781653056 is the 1734584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008781653056

3008781653056 is an abundant number, since it is smaller than the sum of its proper divisors (3078034710117).

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

3008781653056 is an frugal number, since it uses more digits than its factorization.

3008781653056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 3008781653056 in words is "three trillion, eight billion, seven hundred eighty-one million, six hundred fifty-three thousand, fifty-six".