3564785668096 has 39 divisors (see below), whose sum is σ = 7128942678073. Its totient is φ = 1782332416000.

The previous prime is 3564785668043. The next prime is 3564785668229. The reversal of 3564785668096 is 6908665874653.

The square root of 3564785668096 is 1888064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1409291882496 + 2155493785600 = 1187136^2 + 1468160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 120821346 + ... + 120850846.

Almost surely, 2^{3564785668096} is an apocalyptic number.

3564785668096 is the 1888064-th square number.

It is an amenable number.

3564785668096 is a deficient number, since it is larger than the sum of its proper divisors (3564157009977).

3564785668096 is an frugal number, since it uses more digits than its factorization.

3564785668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59026 (or 29503 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 73.

The spelling of 3564785668096 in words is "three trillion, five hundred sixty-four billion, seven hundred eighty-five million, six hundred sixty-eight thousand, ninety-six".