381981600 has 864 divisors, whose sum is σ = 1842632064. Its totient is φ = 71884800.

The previous prime is 381981581. The next prime is 381981617. The reversal of 381981600 is 6189183.

381981600 is a `hidden beast` number, since 38 + 19 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7207174 + ... + 7207226.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2^381981600 is an apocalyptic number.

381981600 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 381981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921316032).

381981600 is an abundant number, since it is smaller than the sum of its proper divisors (1460650464).

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

381981600 is a wasteful number, since it uses less digits than its factorization.

381981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 381981600 is about 19544.3495670744. The cubic root of 381981600 is about 725.5725006363.

The spelling of 381981600 in words is "three hundred eighty-one million, nine hundred eighty-one thousand, six hundred".