3684444000 has 192 divisors, whose sum is σ = 12780960192. Its totient is φ = 924672000.

The previous prime is 3684443999. The next prime is 3684444007. The reversal of 3684444000 is 4444863.

3684444000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684444007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194970 + ... + 213030.

It is an arithmetic number, because the mean of its divisors is an integer number (66567501).

Almost surely, 2^3684444000 is an apocalyptic number.

3684444000 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 3684444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390480096).

3684444000 is an abundant number, since it is smaller than the sum of its proper divisors (9096516192).

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

3684444000 is a wasteful number, since it uses less digits than its factorization.

3684444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18106 (or 18088 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 3684444000 is about 60699.6210861320. The cubic root of 3684444000 is about 1544.5097469451.

Adding to 3684444000 its reverse (4444863), we get a palindrome (3688888863).

The spelling of 3684444000 in words is "three billion, six hundred eighty-four million, four hundred forty-four thousand".