3824234469225 has 45 divisors (see below), whose sum is σ = 7083967205557. Its totient is φ = 2039544783360.

The previous prime is 3824234469199. The next prime is 3824234469227. The reversal of 3824234469225 is 5229644324283.

The square root of 3824234469225 is 1955565.

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

3824234469225 is a `hidden beast` number, since 38 + 2 + 42 + 344 + 6 + 9 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10166083929 + 3814068385296 = 100827^2 + 1952964^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3824234469225 - 2¹⁷ = 3824234338153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3824234469227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 87978697 + ... + 88022153.

Almost surely, 2^{3824234469225} is an apocalyptic number.

3824234469225 is the 1955565-th square number.

3824234469225 is the 977783-rd centered octagonal number.

It is an amenable number.

3824234469225 is a deficient number, since it is larger than the sum of its proper divisors (3259732736332).

3824234469225 is an frugal number, since it uses more digits than its factorization.

3824234469225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86936 (or 43465 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 3824234469225 in words is "three trillion, eight hundred twenty-four billion, two hundred thirty-four million, four hundred sixty-nine thousand, two hundred twenty-five".