2983673988000 has 768 divisors, whose sum is σ = 11698647367680. Its totient is φ = 736483968000.

The previous prime is 2983673987951. The next prime is 2983673988041. The reversal of 2983673988000 is 8893763892.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 76984627 + ... + 77023373.

It is an arithmetic number, because the mean of its divisors is an integer number (15232613760).

Almost surely, 2^{2983673988000} is an apocalyptic number.

2983673988000 is a gapful number since it is divisible by the number (20) 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 2983673988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849323683840).

2983673988000 is an abundant number, since it is smaller than the sum of its proper divisors (8714973379680).

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

2983673988000 is a wasteful number, since it uses less digits than its factorization.

2983673988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38835 (or 38811 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 2983673988000 in words is "two trillion, nine hundred eighty-three billion, six hundred seventy-three million, nine hundred eighty-eight thousand".