3989185600 has 63 divisors (see below), whose sum is σ = 9822110277. Its totient is φ = 1594663680.

The previous prime is 3989185579. The next prime is 3989185621. The reversal of 3989185600 is 65819893.

The square root of 3989185600 is 63160.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3989185579) and next prime (3989185621).

It can be written as a sum of positive squares in only one way, i.e., 1436106816 + 2553078784 = 37896^2 + 50528^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2525611 + ... + 2527189.

Almost surely, 2^3989185600 is an apocalyptic number.

3989185600 is the 63160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3989185600

3989185600 is an abundant number, since it is smaller than the sum of its proper divisors (5832924677).

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

3989185600 is an frugal number, since it uses more digits than its factorization.

3989185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The cubic root of 3989185600 is about 1585.9691949743.

Multiplying 3989185600 by its sum of digits (49), we get a square (195470094400 = 442120²).

The spelling of 3989185600 in words is "three billion, nine hundred eighty-nine million, one hundred eighty-five thousand, six hundred".