3544416225 has 165 divisors, whose sum is σ = 7690882163. Its totient is φ = 1620304560.

The previous prime is 3544416157. The next prime is 3544416229. The reversal of 3544416225 is 5226144453.

The square root of 3544416225 is 59535.

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

3544416225 is a `hidden beast` number, since 35 + 444 + 162 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1275989841 + 2268426384 = 35721^2 + 47628^2 .

It is not a de Polignac number, because 3544416225 - 2²¹ = 3542319073 is a prime.

It is a Duffinian number.

Its product of digits (115200) is a multiple of the sum of its prime divisors (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3544416225.

It is not an unprimeable number, because it can be changed into a prime (3544416229) 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 164 ways as a sum of consecutive naturals, for example, 506345172 + ... + 506345178.

Almost surely, 2^3544416225 is an apocalyptic number.

3544416225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3544416225 is the 59535-th square number.

3544416225 is the 29768-th centered octagonal number.

It is an amenable number.

3544416225 is an abundant number, since it is smaller than the sum of its proper divisors (4146465938).

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

3544416225 is an frugal number, since it uses more digits than its factorization.

3544416225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 15 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The cubic root of 3544416225 is about 1524.6900704932.

Multiplying 3544416225 by its sum of digits (36), we get a square (127598984100 = 357210²).

The spelling of 3544416225 in words is "three billion, five hundred forty-four million, four hundred sixteen thousand, two hundred twenty-five".