380184200 has 192 divisors, whose sum is σ = 1024488000. Its totient is φ = 129920000.

The previous prime is 380184187. The next prime is 380184223. The reversal of 380184200 is 2481083.

380184200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 380184200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3764150 + ... + 3764250.

It is an arithmetic number, because the mean of its divisors is an integer number (5335875).

Almost surely, 2^380184200 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 380184200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512244000).

380184200 is an abundant number, since it is smaller than the sum of its proper divisors (644303800).

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

380184200 is a wasteful number, since it uses less digits than its factorization.

380184200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 380184200 is about 19498.3127475174. The cubic root of 380184200 is about 724.4326595984.

The spelling of 380184200 in words is "three hundred eighty million, one hundred eighty-four thousand, two hundred".