381168000 has 192 divisors, whose sum is σ = 1369386720. Its totient is φ = 101606400.

The previous prime is 381167989. The next prime is 381168001. The reversal of 381168000 is 861183.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142677 + ... + 145323.

Almost surely, 2^381168000 is an apocalyptic number.

381168000 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 381168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684693360).

381168000 is an abundant number, since it is smaller than the sum of its proper divisors (988218720).

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

381168000 is a wasteful number, since it uses less digits than its factorization.

381168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 381168000 is about 19523.5242720161. The cubic root of 381168000 is about 725.0569911600.

The spelling of 381168000 in words is "three hundred eighty-one million, one hundred sixty-eight thousand".