3566766720 has 256 divisors, whose sum is σ = 12467468160. Its totient is φ = 860160000.

The previous prime is 3566766713. The next prime is 3566766739. The reversal of 3566766720 is 276676653.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3566766720.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5934420 + ... + 5935020.

Almost surely, 2^3566766720 is an apocalyptic number.

3566766720 is a gapful number since it is divisible by the number (30) 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 3566766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233734080).

3566766720 is an abundant number, since it is smaller than the sum of its proper divisors (8900701440).

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

3566766720 is a wasteful number, since it uses less digits than its factorization.

3566766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The square root of 3566766720 is about 59722.4138828966. The cubic root of 3566766720 is about 1527.8881710507. Note that the first 3 decimals are identical.

The spelling of 3566766720 in words is "three billion, five hundred sixty-six million, seven hundred sixty-six thousand, seven hundred twenty".