3843728854849 has 81 divisors (see below), whose sum is σ = 4460480823267. Its totient is φ = 3310463119392.

The previous prime is 3843728854843. The next prime is 3843728854907. The reversal of 3843728854849 is 9484588273483.

The square root of 3843728854849 is 1960543.

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., 568598943025 + 3275129911824 = 754055^2 + 1809732^2 .

It is not a de Polignac number, because 3843728854849 - 2⁹ = 3843728854337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3843728854843) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46309986162 + ... + 46309986244.

Almost surely, 2^{3843728854849} is an apocalyptic number.

3843728854849 is the 1960543-rd square number.

3843728854849 is the 980272-nd centered octagonal number.

It is an amenable number.

3843728854849 is a deficient number, since it is larger than the sum of its proper divisors (616751968418).

3843728854849 is an frugal number, since it uses more digits than its factorization.

3843728854849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 73.

The spelling of 3843728854849 in words is "three trillion, eight hundred forty-three billion, seven hundred twenty-eight million, eight hundred fifty-four thousand, eight hundred forty-nine".