3786262172224 has 63 divisors (see below), whose sum is σ = 8740287211923. Its totient is φ = 1622637088128.

The previous prime is 3786262172201. The next prime is 3786262172263. The reversal of 3786262172224 is 4222712626873.

It is a happy number.

The square root of 3786262172224 is 1945832.

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

3786262172224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108949219 + ... + 108983965.

Almost surely, 2^{3786262172224} is an apocalyptic number.

3786262172224 is the 1945832-nd square number.

It is an amenable number.

3786262172224 is an abundant number, since it is smaller than the sum of its proper divisors (4954025039699).

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

3786262172224 is an frugal number, since it uses more digits than its factorization.

3786262172224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69520 (or 34756 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 52.

The spelling of 3786262172224 in words is "three trillion, seven hundred eighty-six billion, two hundred sixty-two million, one hundred seventy-two thousand, two hundred twenty-four".