3001669481800 has 576 divisors, whose sum is σ = 8237397772800. Its totient is φ = 1014182400000.

The previous prime is 3001669481791. The next prime is 3001669481849. The reversal of 3001669481800 is 81849661003.

3001669481800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3001669481800³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6113379555 + ... + 6113380045.

It is an arithmetic number, because the mean of its divisors is an integer number (14301037800).

Almost surely, 2^{3001669481800} 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 3001669481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118698886400).

3001669481800 is an abundant number, since it is smaller than the sum of its proper divisors (5235728291000).

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

3001669481800 is a wasteful number, since it uses less digits than its factorization.

3001669481800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 3001669481800 in words is "three trillion, one billion, six hundred sixty-nine million, four hundred eighty-one thousand, eight hundred".