3003125193600 has 384 divisors, whose sum is σ = 11314445472000. Its totient is φ = 685832110080.

The previous prime is 3003125193517. The next prime is 3003125193617. The reversal of 3003125193600 is 63915213003.

3003125193600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79747576 + ... + 79785224.

It is an arithmetic number, because the mean of its divisors is an integer number (29464701750).

Almost surely, 2^{3003125193600} is an apocalyptic number.

3003125193600 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 3003125193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657222736000).

3003125193600 is an abundant number, since it is smaller than the sum of its proper divisors (8311320278400).

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

3003125193600 is a wasteful number, since it uses less digits than its factorization.

3003125193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38870 (or 38853 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The spelling of 3003125193600 in words is "three trillion, three billion, one hundred twenty-five million, one hundred ninety-three thousand, six hundred".