381852900 has 576 divisors, whose sum is σ = 1539901440. Its totient is φ = 79833600.

The previous prime is 381852893. The next prime is 381852901. The reversal of 381852900 is 9258183.

381852900 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 (36).

It is not an unprimeable number, because it can be changed into a prime (381852901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8880279 + ... + 8880321.

It is an arithmetic number, because the mean of its divisors is an integer number (2673440).

Almost surely, 2^381852900 is an apocalyptic number.

381852900 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 381852900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

381852900 is an abundant number, since it is smaller than the sum of its proper divisors (1158048540).

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

381852900 is a wasteful number, since it uses less digits than its factorization.

381852900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 381852900 is about 19541.0567779739. The cubic root of 381852900 is about 725.4910031067.

The spelling of 381852900 in words is "three hundred eighty-one million, eight hundred fifty-two thousand, nine hundred".