3666413256 has 192 divisors, whose sum is σ = 11134972800. Its totient is φ = 999905280.

The previous prime is 3666413227. The next prime is 3666413281. The reversal of 3666413256 is 6523146663.

It is a happy number.

It is a super-3 number, since 3×3666413256³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1133850 + ... + 1137078.

It is an arithmetic number, because the mean of its divisors is an integer number (57994650).

Almost surely, 2^3666413256 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 3666413256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567486400).

3666413256 is an abundant number, since it is smaller than the sum of its proper divisors (7468559544).

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

3666413256 is a wasteful number, since it uses less digits than its factorization.

3666413256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3285 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 3666413256 is about 60550.9145760822. The cubic root of 3666413256 is about 1541.9861448420.

The spelling of 3666413256 in words is "three billion, six hundred sixty-six million, four hundred thirteen thousand, two hundred fifty-six".