3564728946 has 64 divisors (see below), whose sum is σ = 8470863360. Its totient is φ = 1107244800.

The previous prime is 3564728933. The next prime is 3564728971. The reversal of 3564728946 is 6498274653.

3564728946 is a `hidden beast` number, since 3 + 56 + 472 + 89 + 46 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3564728892 and 3564728901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73495 + ... + 111941.

It is an arithmetic number, because the mean of its divisors is an integer number (132357240).

Almost surely, 2^3564728946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564728946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235431680).

3564728946 is an abundant number, since it is smaller than the sum of its proper divisors (4906134414).

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

3564728946 is a wasteful number, since it uses less digits than its factorization.

3564728946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38576 (or 38570 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3564728946 is about 59705.3510667176. The cubic root of 3564728946 is about 1527.5971433349.

The spelling of 3564728946 in words is "three billion, five hundred sixty-four million, seven hundred twenty-eight thousand, nine hundred forty-six".