3966449256 has 512 divisors, whose sum is σ = 14561280000. Its totient is φ = 990662400.

The previous prime is 3966449251. The next prime is 3966449257. The reversal of 3966449256 is 6529446693.

3966449256 is a `hidden beast` number, since 3 + 96 + 64 + 492 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3966449251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25263930 + ... + 25264086.

It is an arithmetic number, because the mean of its divisors is an integer number (28440000).

Almost surely, 2^3966449256 is an apocalyptic number.

3966449256 is a gapful number since it is divisible by the number (36) 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 3966449256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280640000).

3966449256 is an abundant number, since it is smaller than the sum of its proper divisors (10594830744).

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

3966449256 is a wasteful number, since it uses less digits than its factorization.

3966449256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 3966449256 is about 62979.7527464184. The cubic root of 3966449256 is about 1582.9503778641.

The spelling of 3966449256 in words is "three billion, nine hundred sixty-six million, four hundred forty-nine thousand, two hundred fifty-six".