381321600 has 384 divisors, whose sum is σ = 1438836480. Its totient is φ = 87859200.

The previous prime is 381321587. The next prime is 381321601. The reversal of 381321600 is 6123183.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381321601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2428722 + ... + 2428878.

It is an arithmetic number, because the mean of its divisors is an integer number (3746970).

Almost surely, 2^381321600 is an apocalyptic number.

381321600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719418240).

381321600 is an abundant number, since it is smaller than the sum of its proper divisors (1057514880).

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

381321600 is a wasteful number, since it uses less digits than its factorization.

381321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 381321600 is about 19527.4575918116. The cubic root of 381321600 is about 725.1543706162.

Adding to 381321600 its reverse (6123183), we get a palindrome (387444783).

The spelling of 381321600 in words is "three hundred eighty-one million, three hundred twenty-one thousand, six hundred".