3000563942400 has 1584 divisors, whose sum is σ = 11525151718080. Its totient is φ = 744829747200.

The previous prime is 3000563942381. The next prime is 3000563942401. The reversal of 3000563942400 is 42493650003.

3000563942400 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 563 + 94 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3000563942401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 33714201556 + ... + 33714201644.

It is an arithmetic number, because the mean of its divisors is an integer number (7275979620).

Almost surely, 2^{3000563942400} is an apocalyptic number.

3000563942400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000563942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762575859040).

3000563942400 is an abundant number, since it is smaller than the sum of its proper divisors (8524587775680).

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

3000563942400 is a wasteful number, since it uses less digits than its factorization.

3000563942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3000563942400 in words is "three trillion, five hundred sixty-three million, nine hundred forty-two thousand, four hundred".