381606120 has 192 divisors, whose sum is σ = 1479902400. Its totient is φ = 87212160.

The previous prime is 381606083. The next prime is 381606163. The reversal of 381606120 is 21606183.

381606120 is a `hidden beast` number, since 38 + 1 + 606 + 1 + 20 = 666.

381606120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49315 + ... + 56525.

It is an arithmetic number, because the mean of its divisors is an integer number (7707825).

Almost surely, 2^381606120 is an apocalyptic number.

381606120 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 381606120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739951200).

381606120 is an abundant number, since it is smaller than the sum of its proper divisors (1098296280).

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

381606120 is a wasteful number, since it uses less digits than its factorization.

381606120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 381606120 is about 19534.7413599464. The cubic root of 381606120 is about 725.3346817830.

The spelling of 381606120 in words is "three hundred eighty-one million, six hundred six thousand, one hundred twenty".