3800632000 has 112 divisors (see below), whose sum is σ = 10268163360. Its totient is φ = 1382016000.

The previous prime is 3800631977. The next prime is 3800632007. The reversal of 3800632000 is 2360083.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3800632007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66406 + ... + 109594.

It is an arithmetic number, because the mean of its divisors is an integer number (91680030).

Almost surely, 2^3800632000 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 3800632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134081680).

3800632000 is an abundant number, since it is smaller than the sum of its proper divisors (6467531360).

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

3800632000 is a wasteful number, since it uses less digits than its factorization.

3800632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43227 (or 43207 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3800632000 is about 61649.2660134733. The cubic root of 3800632000 is about 1560.5772573293.

Adding to 3800632000 its reverse (2360083), we get a palindrome (3802992083).

The spelling of 3800632000 in words is "three billion, eight hundred million, six hundred thirty-two thousand".