381888000 has 640 divisors, whose sum is σ = 1608647040. Its totient is φ = 88473600.

The previous prime is 381887993. The next prime is 381888107. The reversal of 381888000 is 888183.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22463992 + ... + 22464008.

It is an arithmetic number, because the mean of its divisors is an integer number (2513511).

Almost surely, 2^381888000 is an apocalyptic number.

381888000 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 381888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

381888000 is an abundant number, since it is smaller than the sum of its proper divisors (1226759040).

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

381888000 is a wasteful number, since it uses less digits than its factorization.

381888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 381888000 is about 19541.9548663894. The cubic root of 381888000 is about 725.5132315215.

It can be divided in two parts, 3 and 81888000, that added together give a triangular number (81888003 = T₁₂₇₉₇).

The spelling of 381888000 in words is "three hundred eighty-one million, eight hundred eighty-eight thousand".