3990444000 has 384 divisors, whose sum is σ = 14310825984. Its totient is φ = 967680000.

The previous prime is 3990443999. The next prime is 3990444001. The reversal of 3990444000 is 4440993.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3990443999) and next prime (3990444001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990444001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6323685 + ... + 6324315.

It is an arithmetic number, because the mean of its divisors is an integer number (37267776).

Almost surely, 2^3990444000 is an apocalyptic number.

3990444000 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 3990444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155412992).

3990444000 is an abundant number, since it is smaller than the sum of its proper divisors (10320381984).

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

3990444000 is a wasteful number, since it uses less digits than its factorization.

3990444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3990444000 is about 63169.9612157551. The cubic root of 3990444000 is about 1586.1359436137.

Adding to 3990444000 its reverse (4440993), we get a palindrome (3994884993).

The spelling of 3990444000 in words is "three billion, nine hundred ninety million, four hundred forty-four thousand".