381276000 has 576 divisors, whose sum is σ = 1655821440. Its totient is φ = 81100800.

The previous prime is 381275981. The next prime is 381276019. The reversal of 381276000 is 672183.

381276000 is a `hidden beast` number, since 38 + 1 + 27 + 600 + 0 = 666.

381276000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381275981) and next prime (381276019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283956 + ... + 4284044.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2^381276000 is an apocalyptic number.

381276000 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 381276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827910720).

381276000 is an abundant number, since it is smaller than the sum of its proper divisors (1274545440).

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

381276000 is a wasteful number, since it uses less digits than its factorization.

381276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 381276000 is about 19526.2899701915. The cubic root of 381276000 is about 725.1254638199.

The spelling of 381276000 in words is "three hundred eighty-one million, two hundred seventy-six thousand".