3564440352 has 72 divisors (see below), whose sum is σ = 11057875920. Its totient is φ = 1080132480.

The previous prime is 3564440311. The next prime is 3564440359. The reversal of 3564440352 is 2530444653.

3564440352 is a `hidden beast` number, since 3 + 5 + 644 + 4 + 0 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3564440359) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 559402 + ... + 565737.

It is an arithmetic number, because the mean of its divisors is an integer number (153581610).

Almost surely, 2^3564440352 is an apocalyptic number.

3564440352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3564440352 is an abundant number, since it is smaller than the sum of its proper divisors (7493435568).

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

3564440352 is a wasteful number, since it uses less digits than its factorization.

3564440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125166 (or 1125155 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3564440352 is about 59702.9341992502. The cubic root of 3564440352 is about 1527.5559183896. Note that the first 3 decimals are identical.

The spelling of 3564440352 in words is "three billion, five hundred sixty-four million, four hundred forty thousand, three hundred fifty-two".