3368564683225 has 81 divisors (see below), whose sum is σ = 4984282006461. Its totient is φ = 2251772611200.

The previous prime is 3368564683181. The next prime is 3368564683229. The reversal of 3368564683225 is 5223864658633.

The square root of 3368564683225 is 1835365.

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 1417883181001 + 1950681502224 = 1190749^2 + 1396668^2 .

It is not a de Polignac number, because 3368564683225 - 2¹³ = 3368564675033 is a prime.

It is a super-2 number, since 2×3368564683225² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3368564683229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2633748136 + ... + 2633749414.

Almost surely, 2^{3368564683225} is an apocalyptic number.

3368564683225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3368564683225 is the 1835365-th square number.

3368564683225 is the 917683-rd centered octagonal number.

It is an amenable number.

3368564683225 is a deficient number, since it is larger than the sum of its proper divisors (1615717323236).

3368564683225 is an frugal number, since it uses more digits than its factorization.

3368564683225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 1332 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 61.

The spelling of 3368564683225 in words is "three trillion, three hundred sixty-eight billion, five hundred sixty-four million, six hundred eighty-three thousand, two hundred twenty-five".