3638067946384 has 45 divisors (see below), whose sum is σ = 7439565912177. Its totient is φ = 1723226677632.

The previous prime is 3638067946361. The next prime is 3638067946421. The reversal of 3638067946384 is 4836497608363.

The square root of 3638067946384 is 1907372.

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., 1059705536400 + 2578362409984 = 1029420^2 + 1605728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144947724 + ... + 144972820.

Almost surely, 2^{3638067946384} is an apocalyptic number.

3638067946384 is the 1907372-nd square number.

It is an amenable number.

3638067946384 is an abundant number, since it is smaller than the sum of its proper divisors (3801497965793).

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

3638067946384 is an frugal number, since it uses more digits than its factorization.

3638067946384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50240 (or 25118 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 67.

The spelling of 3638067946384 in words is "three trillion, six hundred thirty-eight billion, sixty-seven million, nine hundred forty-six thousand, three hundred eighty-four".