3013368800 has 288 divisors, whose sum is σ = 8378463744. Its totient is φ = 1050624000.

The previous prime is 3013368797. The next prime is 3013368803. The reversal of 3013368800 is 88633103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3013368797) and next prime (3013368803).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013368803) 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 47 ways as a sum of consecutive naturals, for example, 15776705 + ... + 15776895.

It is an arithmetic number, because the mean of its divisors is an integer number (29091888).

Almost surely, 2^3013368800 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 3013368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189231872).

3013368800 is an abundant number, since it is smaller than the sum of its proper divisors (5365094944).

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

3013368800 is a wasteful number, since it uses less digits than its factorization.

3013368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3013368800 is about 54894.1599808213. The cubic root of 3013368800 is about 1444.3887454306.

The spelling of 3013368800 in words is "three billion, thirteen million, three hundred sixty-eight thousand, eight hundred".