3566384640 has 960 divisors, whose sum is σ = 16065846720. Its totient is φ = 752467968.

The previous prime is 3566384629. The next prime is 3566384641. The reversal of 3566384640 is 464836653.

3566384640 is a `hidden beast` number, since 3 + 5 + 6 + 638 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3566384641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274337274 + ... + 274337286.

It is an arithmetic number, because the mean of its divisors is an integer number (16735257).

Almost surely, 2^3566384640 is an apocalyptic number.

3566384640 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 3566384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032923360).

3566384640 is an abundant number, since it is smaller than the sum of its proper divisors (12499462080).

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

3566384640 is an frugal number, since it uses more digits than its factorization.

3566384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3566384640 is about 59719.2149981897. The cubic root of 3566384640 is about 1527.8336121738.

The spelling of 3566384640 in words is "three billion, five hundred sixty-six million, three hundred eighty-four thousand, six hundred forty".