3883368960000 has 1040 divisors, whose sum is σ = 15138265454400. Its totient is φ = 980729856000.

The previous prime is 3883368959971. The next prime is 3883368960013. The reversal of 3883368960000 is 698633883.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1313278522 + ... + 1313281478.

Almost surely, 2^{3883368960000} is an apocalyptic number.

3883368960000 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 3883368960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569132727200).

3883368960000 is an abundant number, since it is smaller than the sum of its proper divisors (11254896494400).

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

3883368960000 is an equidigital number, since it uses as much as digits as its factorization.

3883368960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3883368960000 in words is "three trillion, eight hundred eighty-three billion, three hundred sixty-eight million, nine hundred sixty thousand".