3024741966400 has 672 divisors, whose sum is σ = 9792343249920. Its totient is φ = 890901504000.

The previous prime is 3024741966383. The next prime is 3024741966427. The reversal of 3024741966400 is 46691474203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079107399 + ... + 1079110201.

It is an arithmetic number, because the mean of its divisors is an integer number (14571939360).

Almost surely, 2^{3024741966400} 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 3024741966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896171624960).

3024741966400 is an abundant number, since it is smaller than the sum of its proper divisors (6767601283520).

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

3024741966400 is a wasteful number, since it uses less digits than its factorization.

3024741966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 3024741966400 in words is "three trillion, twenty-four billion, seven hundred forty-one million, nine hundred sixty-six thousand, four hundred".