3000613843984 has 135 divisors (see below), whose sum is σ = 6121500312837. Its totient is φ = 1424806032384.

The previous prime is 3000613843957. The next prime is 3000613844003. The reversal of 3000613843984 is 4893483160003.

The square root of 3000613843984 is 1732228.

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

It can be written as a sum of positive squares in 13 ways, for example, as 617073091600 + 2383540752384 = 785540^2 + 1543872^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 21902290764 + ... + 21902290900.

Almost surely, 2^{3000613843984} is an apocalyptic number.

3000613843984 is the 1732228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000613843984

3000613843984 is an abundant number, since it is smaller than the sum of its proper divisors (3120886468853).

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

3000613843984 is an equidigital number, since it uses as much as digits as its factorization.

3000613843984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 3000613843984 by its sum of digits (49), we get a square (147030078355216 = 12125596²).

The spelling of 3000613843984 in words is "three trillion, six hundred thirteen million, eight hundred forty-three thousand, nine hundred eighty-four".