3000981728448 has 672 divisors, whose sum is σ = 10152631480320. Its totient is φ = 867525120000.

The previous prime is 3000981728447. The next prime is 3000981728483. The reversal of 3000981728448 is 8448271890003.

It is a happy number.

3000981728448 is a `hidden beast` number, since 300 + 0 + 9 + 8 + 17 + 284 + 48 = 666.

It is a super-2 number, since 2×3000981728448² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3000981728394 and 3000981728403.

It is not an unprimeable number, because it can be changed into a prime (3000981728447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460199428 + ... + 460205948.

It is an arithmetic number, because the mean of its divisors is an integer number (15108082560).

Almost surely, 2^{3000981728448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000981728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076315740160).

3000981728448 is an abundant number, since it is smaller than the sum of its proper divisors (7151649751872).

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

3000981728448 is a wasteful number, since it uses less digits than its factorization.

3000981728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 3000981728448 in words is "three trillion, nine hundred eighty-one million, seven hundred twenty-eight thousand, four hundred forty-eight".