3564381312 has 72 divisors (see below), whose sum is σ = 10262712915. Its totient is φ = 1187451648.

The previous prime is 3564381287. The next prime is 3564381319. The reversal of 3564381312 is 2131834653.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3564381312 is a `hidden beast` number, since 3 + 5 + 643 + 8 + 1 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1782190656 + 1782190656 = 42216^2 + 42216^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=42216.

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 (3564381319) 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 8 ways as a sum of consecutive naturals, for example, 2025489 + ... + 2027247.

Almost surely, 2^3564381312 is an apocalyptic number.

3564381312 is a gapful number since it is divisible by the number (32) 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 3564381312

3564381312 is an abundant number, since it is smaller than the sum of its proper divisors (6698331603).

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

3564381312 is an frugal number, since it uses more digits than its factorization.

3564381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 1764 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3564381312 is about 59702.4397491426. The cubic root of 3564381312 is about 1527.5474843962.

The spelling of 3564381312 in words is "three billion, five hundred sixty-four million, three hundred eighty-one thousand, three hundred twelve".