381996000 has 336 divisors, whose sum is σ = 1417944528. Its totient is φ = 101088000.

The previous prime is 381995959. The next prime is 381996023. The reversal of 381996000 is 699183.

381996000 is a `hidden beast` number, since 38 + 19 + 9 + 600 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 2915935 + ... + 2916065.

It is an arithmetic number, because the mean of its divisors is an integer number (4220073).

Almost surely, 2^381996000 is an apocalyptic number.

381996000 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 381996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708972264).

381996000 is an abundant number, since it is smaller than the sum of its proper divisors (1035948528).

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

381996000 is an equidigital number, since it uses as much as digits as its factorization.

381996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 381996000 is about 19544.7179565222. The cubic root of 381996000 is about 725.5816181023.

The spelling of 381996000 in words is "three hundred eighty-one million, nine hundred ninety-six thousand".