3003976800000 has 1728 divisors, whose sum is σ = 12416505292800. Its totient is φ = 710092800000.

The previous prime is 3003976799959. The next prime is 3003976800023. The reversal of 3003976800000 is 86793003.

3003976800000 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 (1728).

It is a super-2 number, since 2×3003976800000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11167199866 + ... + 11167200134.

It is an arithmetic number, because the mean of its divisors is an integer number (7185477600).

Almost surely, 2^{3003976800000} is an apocalyptic number.

3003976800000 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 3003976800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208252646400).

3003976800000 is an abundant number, since it is smaller than the sum of its proper divisors (9412528492800).

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

3003976800000 is an equidigital number, since it uses as much as digits as its factorization.

3003976800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3003976800000 in words is "three trillion, three billion, nine hundred seventy-six million, eight hundred thousand".