3846077944164 has 81 divisors (see below), whose sum is σ = 10261243479123. Its totient is φ = 1214480328624.

The previous prime is 3846077944151. The next prime is 3846077944201. The reversal of 3846077944164 is 4614497706483.

The square root of 3846077944164 is 1961142.

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

3846077944164 is a `hidden beast` number, since 3 + 8 + 4 + 60 + 7 + 79 + 441 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 223561587 + ... + 223578789.

Almost surely, 2^{3846077944164} is an apocalyptic number.

3846077944164 is the 1961142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3846077944164

3846077944164 is an abundant number, since it is smaller than the sum of its proper divisors (6415165534959).

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

3846077944164 is an equidigital number, since it uses as much as digits as its factorization.

3846077944164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34454 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 3846077944164 in words is "three trillion, eight hundred forty-six billion, seventy-seven million, nine hundred forty-four thousand, one hundred sixty-four".