3843781600 has 144 divisors (see below), whose sum is σ = 10012984128. Its totient is φ = 1435811840.

The previous prime is 3843781511. The next prime is 3843781633. The reversal of 3843781600 is 61873483.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1862169 + ... + 1864231.

It is an arithmetic number, because the mean of its divisors is an integer number (69534612).

Almost surely, 2^3843781600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3843781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006492064).

3843781600 is an abundant number, since it is smaller than the sum of its proper divisors (6169202528).

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

3843781600 is a wasteful number, since it uses less digits than its factorization.

3843781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 3843781600 is about 61998.2386846594. The cubic root of 3843781600 is about 1566.4609316883.

The spelling of 3843781600 in words is "three billion, eight hundred forty-three million, seven hundred eighty-one thousand, six hundred".