381811600 has 45 divisors (see below), whose sum is σ = 918242227. Its totient is φ = 152568320.

The previous prime is 381811579. The next prime is 381811603. The reversal of 381811600 is 6118183.

It is a happy number.

The square root of 381811600 is 19540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54346384 + 327465216 = 7372^2 + 18096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381811603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 390312 + ... + 391288.

Almost surely, 2^381811600 is an apocalyptic number.

381811600 is the 19540-th square number.

It is an amenable number.

381811600 is an abundant number, since it is smaller than the sum of its proper divisors (536430627).

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

381811600 is an frugal number, since it uses more digits than its factorization.

381811600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The cubic root of 381811600 is about 725.4648465608.

Adding to 381811600 its reverse (6118183), we get a palindrome (387929783).

The spelling of 381811600 in words is "three hundred eighty-one million, eight hundred eleven thousand, six hundred".