3440227396225 has 27 divisors (see below), whose sum is σ = 4531784722171. Its totient is φ = 2590170156800.

The previous prime is 3440227396217. The next prime is 3440227396241. The reversal of 3440227396225 is 5226937220443.

The square root of 3440227396225 is 1854785.

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

It can be written as a sum of positive squares in 13 ways, for example, as 900462451329 + 2539764944896 = 948927^2 + 1593664^2 .

It is not a de Polignac number, because 3440227396225 - 2³ = 3440227396217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 157645815 + ... + 157667635.

Almost surely, 2^{3440227396225} is an apocalyptic number.

3440227396225 is the 1854785-th square number.

3440227396225 is the 927393-rd centered octagonal number.

It is an amenable number.

3440227396225 is a deficient number, since it is larger than the sum of its proper divisors (1091557325946).

3440227396225 is an frugal number, since it uses more digits than its factorization.

3440227396225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43686 (or 21843 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

Multiplying 3440227396225 by its sum of digits (49), we get a square (168571142415025 = 12983495²).

The spelling of 3440227396225 in words is "three trillion, four hundred forty billion, two hundred twenty-seven million, three hundred ninety-six thousand, two hundred twenty-five".