380128896 has 256 divisors, whose sum is σ = 1351296000. Its totient is φ = 102767616.

The previous prime is 380128867. The next prime is 380128909. The reversal of 380128896 is 698821083.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 459235 + ... + 460061.

It is an arithmetic number, because the mean of its divisors is an integer number (5278500).

Almost surely, 2^380128896 is an apocalyptic number.

380128896 is a gapful number since it is divisible by the number (36) 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 380128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675648000).

380128896 is an abundant number, since it is smaller than the sum of its proper divisors (971167104).

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

380128896 is a wasteful number, since it uses less digits than its factorization.

380128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 380128896 is about 19496.8945219489. The cubic root of 380128896 is about 724.3975310417.

The spelling of 380128896 in words is "three hundred eighty million, one hundred twenty-eight thousand, eight hundred ninety-six".