3666456576 has 260 divisors, whose sum is σ = 11251092072. Its totient is φ = 1189085184.

The previous prime is 3666456571. The next prime is 3666456587. The reversal of 3666456576 is 6756546663.

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

Its product of digits (16329600) is a multiple of the sum of its prime factors (336).

It is not an unprimeable number, because it can be changed into a prime (3666456571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14266240 + ... + 14266496.

Almost surely, 2^3666456576 is an apocalyptic number.

3666456576 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 3666456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625546036).

3666456576 is an abundant number, since it is smaller than the sum of its proper divisors (7584635496).

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

3666456576 is an equidigital number, since it uses as much as digits as its factorization.

3666456576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 305 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The square root of 3666456576 is about 60551.2722905143. The cubic root of 3666456576 is about 1541.9922178596.

The spelling of 3666456576 in words is "three billion, six hundred sixty-six million, four hundred fifty-six thousand, five hundred seventy-six".