380184536800 has 144 divisors (see below), whose sum is σ = 932313890592. Its totient is φ = 151389388800.

The previous prime is 380184536783. The next prime is 380184536801. The reversal of 380184536800 is 8635481083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380184536801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202980664 + ... + 202982536.

It is an arithmetic number, because the mean of its divisors is an integer number (6474402018).

Almost surely, 2^380184536800 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 380184536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466156945296).

380184536800 is an abundant number, since it is smaller than the sum of its proper divisors (552129353792).

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

380184536800 is a wasteful number, since it uses less digits than its factorization.

380184536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 380184536800 in words is "three hundred eighty billion, one hundred eighty-four million, five hundred thirty-six thousand, eight hundred".