381783606900 has 144 divisors (see below), whose sum is σ = 1120716269568. Its totient is φ = 100327472000.

The previous prime is 381783606847. The next prime is 381783606907. The reversal of 381783606900 is 9606387183.

It is a super-2 number, since 2×381783606900² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381783606907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83302009 + ... + 83306591.

It is an arithmetic number, because the mean of its divisors is an integer number (7782751872).

Almost surely, 2^381783606900 is an apocalyptic number.

381783606900 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 381783606900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560358134784).

381783606900 is an abundant number, since it is smaller than the sum of its proper divisors (738932662668).

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

381783606900 is a wasteful number, since it uses less digits than its factorization.

381783606900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 381783606900 in words is "three hundred eighty-one billion, seven hundred eighty-three million, six hundred six thousand, nine hundred".