380846188800 has 3240 divisors, whose sum is σ = 1887932914560. Its totient is φ = 74782310400.

The previous prime is 380846188783. The next prime is 380846188819. The reversal of 380846188800 is 8881648083.

380846188800 is a `hidden beast` number, since 380 + 8 + 4 + 6 + 188 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8103110377 + ... + 8103110423.

It is an arithmetic number, because the mean of its divisors is an integer number (582695344).

Almost surely, 2^380846188800 is an apocalyptic number.

380846188800 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 380846188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943966457280).

380846188800 is an abundant number, since it is smaller than the sum of its proper divisors (1507086725760).

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

380846188800 is a wasteful number, since it uses less digits than its factorization.

380846188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 380846188800 in words is "three hundred eighty billion, eight hundred forty-six million, one hundred eighty-eight thousand, eight hundred".