381796200 has 192 divisors, whose sum is σ = 1392768000. Its totient is φ = 95800320.

The previous prime is 381796189. The next prime is 381796201. The reversal of 381796200 is 2697183.

381796200 is a `hidden beast` number, since 381 + 79 + 6 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (381796201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89721 + ... + 93879.

It is an arithmetic number, because the mean of its divisors is an integer number (7254000).

Almost surely, 2^381796200 is an apocalyptic number.

381796200 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 381796200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384000).

381796200 is an abundant number, since it is smaller than the sum of its proper divisors (1010971800).

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

381796200 is a wasteful number, since it uses less digits than its factorization.

381796200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 381796200 is about 19539.6059325668. The cubic root of 381796200 is about 725.4550927897.

The spelling of 381796200 in words is "three hundred eighty-one million, seven hundred ninety-six thousand, two hundred".