3661444000 has 96 divisors (see below), whose sum is σ = 9084531456. Its totient is φ = 1450195200.

The previous prime is 3661443949. The next prime is 3661444009. The reversal of 3661444000 is 4441663.

It is a happy number.

3661444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3661444000.

It is not an unprimeable number, because it can be changed into a prime (3661444009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407557 + ... + 416443.

It is an arithmetic number, because the mean of its divisors is an integer number (94630536).

Almost surely, 2^3661444000 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 3661444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542265728).

3661444000 is an abundant number, since it is smaller than the sum of its proper divisors (5423087456).

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

3661444000 is a wasteful number, since it uses less digits than its factorization.

3661444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3661444000 is about 60509.8669639919. The cubic root of 3661444000 is about 1541.2891886467.

Adding to 3661444000 its reverse (4441663), we get a palindrome (3665885663).

The spelling of 3661444000 in words is "three billion, six hundred sixty-one million, four hundred forty-four thousand".