381580120 has 64 divisors (see below), whose sum is σ = 900123840. Its totient is φ = 145305600.

The previous prime is 381580103. The next prime is 381580127. The reversal of 381580120 is 21085183.

381580120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381580127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 220860 + ... + 222580.

It is an arithmetic number, because the mean of its divisors is an integer number (14064435).

Almost surely, 2^381580120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450061920).

381580120 is an abundant number, since it is smaller than the sum of its proper divisors (518543720).

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

381580120 is a wasteful number, since it uses less digits than its factorization.

381580120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 381580120 is about 19534.0758675705. The cubic root of 381580120 is about 725.3182083138.

The spelling of 381580120 in words is "three hundred eighty-one million, five hundred eighty thousand, one hundred twenty".