3013364076800 has 1728 divisors, whose sum is σ = 10448259268608. Its totient is φ = 831651840000.

The previous prime is 3013364076799. The next prime is 3013364076803. The reversal of 3013364076800 is 86704633103.

3013364076800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (3013364076803) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10647929459 + ... + 10647929741.

It is an arithmetic number, because the mean of its divisors is an integer number (6046446336).

Almost surely, 2^{3013364076800} 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 3013364076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224129634304).

3013364076800 is an abundant number, since it is smaller than the sum of its proper divisors (7434895191808).

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

3013364076800 is a wasteful number, since it uses less digits than its factorization.

3013364076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 3013364076800 in words is "three trillion, thirteen billion, three hundred sixty-four million, seventy-six thousand, eight hundred".