380838931200 has 2592 divisors, whose sum is σ = 1825613153280. Its totient is φ = 76859228160.

The previous prime is 380838931189. The next prime is 380838931217. The reversal of 380838931200 is 2139838083.

380838931200 is a `hidden beast` number, since 38 + 0 + 8 + 389 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 16558214389 + ... + 16558214411.

Almost surely, 2^380838931200 is an apocalyptic number.

380838931200 is a gapful number since it is divisible by the number (30) 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 380838931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912806576640).

380838931200 is an abundant number, since it is smaller than the sum of its proper divisors (1444774222080).

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

380838931200 is an equidigital number, since it uses as much as digits as its factorization.

380838931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 380838931200 in words is "three hundred eighty billion, eight hundred thirty-eight million, nine hundred thirty-one thousand, two hundred".