3966558288 has 320 divisors, whose sum is σ = 13799116800. Its totient is φ = 950906880.

The previous prime is 3966558251. The next prime is 3966558307. The reversal of 3966558288 is 8828556693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2464428 + ... + 2466036.

It is an arithmetic number, because the mean of its divisors is an integer number (43122240).

Almost surely, 2^3966558288 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 3966558288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899558400).

3966558288 is an abundant number, since it is smaller than the sum of its proper divisors (9832558512).

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

3966558288 is a wasteful number, since it uses less digits than its factorization.

3966558288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1684 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 60.

The square root of 3966558288 is about 62980.6183519978. The cubic root of 3966558288 is about 1582.9648820762.

The spelling of 3966558288 in words is "three billion, nine hundred sixty-six million, five hundred fifty-eight thousand, two hundred eighty-eight".