3669891164416 has 81 divisors (see below), whose sum is σ = 7782808061161. Its totient is φ = 1726762397696.

The previous prime is 3669891164413. The next prime is 3669891164449. The reversal of 3669891164416 is 6144611989663.

The square root of 3669891164416 is 1915696.

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., 2857181702400 + 812709462016 = 1690320^2 + 901504^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3669891164413) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 521065791 + ... + 521072833.

Almost surely, 2^{3669891164416} is an apocalyptic number.

3669891164416 is the 1915696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3669891164416

3669891164416 is an abundant number, since it is smaller than the sum of its proper divisors (4112916896745).

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

3669891164416 is an frugal number, since it uses more digits than its factorization.

3669891164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14136 (or 7062 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 64.

Multiplying 3669891164416 by its sum of digits (64), we get a square (234873034522624 = 15325568²).

3669891164416 divided by its sum of digits (64) gives a square (57342049444 = 239462²).

The spelling of 3669891164416 in words is "three trillion, six hundred sixty-nine billion, eight hundred ninety-one million, one hundred sixty-four thousand, four hundred sixteen".