380282112 has 432 divisors, whose sum is σ = 1415756160. Its totient is φ = 95551488.

The previous prime is 380282083. The next prime is 380282117. The reversal of 380282112 is 211282083.

380282112 is a `hidden beast` number, since 380 + 282 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×380282112² = 289228969414361088, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380282117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5209308 + ... + 5209380.

Almost surely, 2^380282112 is an apocalyptic number.

380282112 is a gapful number since it is divisible by the number (32) 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 380282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707878080).

380282112 is an abundant number, since it is smaller than the sum of its proper divisors (1035474048).

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

380282112 is a wasteful number, since it uses less digits than its factorization.

380282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 380282112 is about 19500.8233672325. The cubic root of 380282112 is about 724.4948439837.

The spelling of 380282112 in words is "three hundred eighty million, two hundred eighty-two thousand, one hundred twelve".