3541679344225 has 27 divisors (see below), whose sum is σ = 4827362216761. Its totient is φ = 2575691518400.

The previous prime is 3541679344163. The next prime is 3541679344249. The reversal of 3541679344225 is 5224439761453.

It is a happy number.

The square root of 3541679344225 is 1881935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 636304549969 + 2905374794256 = 797687^2 + 1704516^2 .

It is not a de Polignac number, because 3541679344225 - 2¹³ = 3541679336033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

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, 103489317 + ... + 103523533.

Almost surely, 2^{3541679344225} is an apocalyptic number.

3541679344225 is the 1881935-th square number.

3541679344225 is the 940968-th centered octagonal number.

It is an amenable number.

3541679344225 is a deficient number, since it is larger than the sum of its proper divisors (1285682872536).

3541679344225 is an frugal number, since it uses more digits than its factorization.

3541679344225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68466 (or 34233 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 55.

The spelling of 3541679344225 in words is "three trillion, five hundred forty-one billion, six hundred seventy-nine million, three hundred forty-four thousand, two hundred twenty-five".