381310200 has 192 divisors, whose sum is σ = 1323352800. Its totient is φ = 100915200.

The previous prime is 381310177. The next prime is 381310211. The reversal of 381310200 is 2013183.

381310200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301254 + ... + 1301546.

Almost surely, 2^381310200 is an apocalyptic number.

381310200 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 381310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661676400).

381310200 is an abundant number, since it is smaller than the sum of its proper divisors (942042600).

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

381310200 is a wasteful number, since it uses less digits than its factorization.

381310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 381310200 is about 19527.1656929520. The cubic root of 381310200 is about 725.1471441332.

Adding to 381310200 its reverse (2013183), we get a palindrome (383323383).

The spelling of 381310200 in words is "three hundred eighty-one million, three hundred ten thousand, two hundred".