380027600 has 90 divisors (see below), whose sum is σ = 949746690. Its totient is φ = 145958400.

The previous prime is 380027591. The next prime is 380027633. The reversal of 380027600 is 6720083.

It can be written as a sum of positive squares in 9 ways, for example, as 330803344 + 49224256 = 18188^2 + 7016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 380027600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2099510 + ... + 2099690.

It is an arithmetic number, because the mean of its divisors is an integer number (10552741).

Almost surely, 2^380027600 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 380027600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474873345).

380027600 is an abundant number, since it is smaller than the sum of its proper divisors (569719090).

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

380027600 is a wasteful number, since it uses less digits than its factorization.

380027600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 380027600 is about 19494.2966018269. The cubic root of 380027600 is about 724.3331799826. Note that the first 3 decimals are identical.

Adding to 380027600 its reverse (6720083), we get a palindrome (386747683).

The spelling of 380027600 in words is "three hundred eighty million, twenty-seven thousand, six hundred".