3873168000 has 384 divisors, whose sum is σ = 14986717200. Its totient is φ = 952934400.

The previous prime is 3873167989. The next prime is 3873168017. The reversal of 3873168000 is 8613783.

It can be written as a sum of positive squares in 8 ways, for example, as 159971904 + 3713196096 = 12648^2 + 60936^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870966 + ... + 1873034.

Almost surely, 2^3873168000 is an apocalyptic number.

3873168000 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 3873168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493358600).

3873168000 is an abundant number, since it is smaller than the sum of its proper divisors (11113549200).

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

3873168000 is a wasteful number, since it uses less digits than its factorization.

3873168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3873168000 is about 62234.7812722114. The cubic root of 3873168000 is about 1570.4427598932.

The spelling of 3873168000 in words is "three billion, eight hundred seventy-three million, one hundred sixty-eight thousand".