380609856 has 252 divisors, whose sum is σ = 1236691456. Its totient is φ = 111767040.

The previous prime is 380609851. The next prime is 380609857. The reversal of 380609856 is 658906083.

380609856 is a `hidden beast` number, since 38 + 0 + 609 + 8 + 5 + 6 = 666.

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 (380609851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2996865 + ... + 2996991.

Almost surely, 2^380609856 is an apocalyptic number.

380609856 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 380609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618345728).

380609856 is an abundant number, since it is smaller than the sum of its proper divisors (856081600).

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

380609856 is a wasteful number, since it uses less digits than its factorization.

380609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 380609856 is about 19509.2248949055. The cubic root of 380609856 is about 724.7029181551.

The spelling of 380609856 in words is "three hundred eighty million, six hundred nine thousand, eight hundred fifty-six".