3873847680000 has 2310 divisors, whose sum is σ = 15978104451144. Its totient is φ = 936105984000.

The previous prime is 3873847679983. The next prime is 3873847680041. The reversal of 3873847680000 is 867483783.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 168428159989 + ... + 168428160011.

Almost surely, 2^{3873847680000} is an apocalyptic number.

3873847680000 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 3873847680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989052225572).

3873847680000 is an abundant number, since it is smaller than the sum of its proper divisors (12104256771144).

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

3873847680000 is an frugal number, since it uses more digits than its factorization.

3873847680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3873847680000 in words is "three trillion, eight hundred seventy-three billion, eight hundred forty-seven million, six hundred eighty thousand".