3966218256 has 640 divisors, whose sum is σ = 14895046656. Its totient is φ = 875888640.

The previous prime is 3966218227. The next prime is 3966218257. The reversal of 3966218256 is 6528126693.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3966218257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40888800 + ... + 40888896.

Almost surely, 2^3966218256 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 3966218256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447523328).

3966218256 is an abundant number, since it is smaller than the sum of its proper divisors (10928828400).

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

3966218256 is a wasteful number, since it uses less digits than its factorization.

3966218256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 3966218256 is about 62977.9187969879. The cubic root of 3966218256 is about 1582.9196477230.

It can be divided in two parts, 3966 and 218256, that added together give a palindrome (222222).

The spelling of 3966218256 in words is "three billion, nine hundred sixty-six million, two hundred eighteen thousand, two hundred fifty-six".