3836628000 has 288 divisors, whose sum is σ = 14419445040. Its totient is φ = 962764800.

The previous prime is 3836627941. The next prime is 3836628023. The reversal of 3836628000 is 8266383.

It can be written as a sum of positive squares in 8 ways, for example, as 206324496 + 3630303504 = 14364^2 + 60252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 608866 + ... + 615134.

Almost surely, 2^3836628000 is an apocalyptic number.

3836628000 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 3836628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209722520).

3836628000 is an abundant number, since it is smaller than the sum of its proper divisors (10582817040).

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

3836628000 is a wasteful number, since it uses less digits than its factorization.

3836628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3836628000 is about 61940.5198557455. The cubic root of 3836628000 is about 1565.4885564816.

It can be divided in two parts, 38366 and 28000, that added together give a palindrome (66366).

The spelling of 3836628000 in words is "three billion, eight hundred thirty-six million, six hundred twenty-eight thousand".