380108800 has 120 divisors (see below), whose sum is σ = 975174750. Its totient is φ = 146800640.

The previous prime is 380108789. The next prime is 380108821. The reversal of 380108800 is 8801083.

It can be written as a sum of positive squares in 3 ways, for example, as 285474816 + 94633984 = 16896^2 + 9728^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13107186 + ... + 13107214.

Almost surely, 2^380108800 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 380108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487587375).

380108800 is an abundant number, since it is smaller than the sum of its proper divisors (595065950).

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

380108800 is an frugal number, since it uses more digits than its factorization.

380108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 380108800 is about 19496.3791510116. The cubic root of 380108800 is about 724.3847654163.

Adding to 380108800 its reverse (8801083), we get a palindrome (388909883).

The spelling of 380108800 in words is "three hundred eighty million, one hundred eight thousand, eight hundred".