3000891006864 has 135 divisors (see below), whose sum is σ = 8447421842769. Its totient is φ = 994483376640.

The previous prime is 3000891006853. The next prime is 3000891006881. The reversal of 3000891006864 is 4686001980003.

The square root of 3000891006864 is 1732308.

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., 2256881253264 + 744009753600 = 1502292^2 + 862560^2 .

It is a super-2 number, since 2×3000891006864² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5009834437 + ... + 5009835035.

Almost surely, 2^{3000891006864} is an apocalyptic number.

3000891006864 is the 1732308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000891006864

3000891006864 is an abundant number, since it is smaller than the sum of its proper divisors (5446530835905).

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

3000891006864 is an frugal number, since it uses more digits than its factorization.

3000891006864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

Adding to 3000891006864 its reverse (4686001980003), we get a palindrome (7686892986867).

The spelling of 3000891006864 in words is "three trillion, eight hundred ninety-one million, six thousand, eight hundred sixty-four".