3379585873225 has 9 divisors (see below), whose sum is σ = 4190697880693. Its totient is φ = 2703661345120.

The previous prime is 3379585873207. The next prime is 3379585873231. The reversal of 3379585873225 is 5223785859733.

The square root of 3379585873225 is 1838365.

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 62801863609 + 3316784009616 = 250603^2 + 1821204^2 .

It is not a de Polignac number, because 3379585873225 - 2⁹ = 3379585872713 is a prime.

It is a super-2 number, since 2×3379585873225² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9007989 + ... + 9375661.

Almost surely, 2^{3379585873225} is an apocalyptic number.

3379585873225 is the 1838365-th square number.

3379585873225 is the 919183-rd centered octagonal number.

It is an amenable number.

3379585873225 is a deficient number, since it is larger than the sum of its proper divisors (811112007468).

3379585873225 is an frugal number, since it uses more digits than its factorization.

3379585873225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735356 (or 367678 counting only the distinct ones).

The product of its digits is 381024000, while the sum is 67.

The spelling of 3379585873225 in words is "three trillion, three hundred seventy-nine billion, five hundred eighty-five million, eight hundred seventy-three thousand, two hundred twenty-five".