381805380 has 384 divisors, whose sum is σ = 1451520000. Its totient is φ = 82114560.

The previous prime is 381805367. The next prime is 381805381. The reversal of 381805380 is 83508183.

It is a happy number.

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 (381805381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1918521 + ... + 1918719.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^381805380 is an apocalyptic number.

381805380 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 381805380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

381805380 is an abundant number, since it is smaller than the sum of its proper divisors (1069714620).

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

381805380 is a wasteful number, since it uses less digits than its factorization.

381805380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 381805380 is about 19539.8408386558. The cubic root of 381805380 is about 725.4609070822.

The spelling of 381805380 in words is "three hundred eighty-one million, eight hundred five thousand, three hundred eighty".