382287680000 has 150 divisors (see below), whose sum is σ = 955354414509. Its totient is φ = 152775168000.

The previous prime is 382287679957. The next prime is 382287680039. The reversal of 382287680000 is 86782283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 52738203904 + 329549476096 = 229648^2 + 574064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=437200.

It is a super-2 number, since 2×382287680000² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 349759454 + ... + 349760546.

Almost surely, 2^382287680000 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 382287680000

382287680000 is an abundant number, since it is smaller than the sum of its proper divisors (573066734509).

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

382287680000 is an frugal number, since it uses more digits than its factorization.

382287680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 382287680000 in words is "three hundred eighty-two billion, two hundred eighty-seven million, six hundred eighty thousand".