3838632200 has 108 divisors (see below), whose sum is σ = 9692916165. Its totient is φ = 1413135360.

The previous prime is 3838632167. The next prime is 3838632209. The reversal of 3838632200 is 22368383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 1867449796 + 1971182404 = 43214^2 + 44398^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=43810.

It is not an unprimeable number, because it can be changed into a prime (3838632209) 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 26 ways as a sum of consecutive naturals, for example, 11390432 + ... + 11390768.

Almost surely, 2^3838632200 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 3838632200

3838632200 is an abundant number, since it is smaller than the sum of its proper divisors (5854283965).

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

3838632200 is a wasteful number, since it uses less digits than its factorization.

3838632200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 3838632200 is about 61956.6961675653. The cubic root of 3838632200 is about 1565.7611053610.

Multiplying 3838632200 by its product of nonzero digits (41472), we get a square (159195754598400 = 12617280²).

The spelling of 3838632200 in words is "three billion, eight hundred thirty-eight million, six hundred thirty-two thousand, two hundred".