3667608225 has 72 divisors (see below), whose sum is σ = 6704543352. Its totient is φ = 1916006400.

The previous prime is 3667608223. The next prime is 3667608277. The reversal of 3667608225 is 5228067663.

It is a happy number.

3667608225 is a `hidden beast` number, since 36 + 6 + 7 + 608 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1976424849 + 1691183376 = 44457^2 + 41124^2 .

It is not a de Polignac number, because 3667608225 - 2¹ = 3667608223 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3667608223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4844547 + ... + 4845303.

Almost surely, 2^3667608225 is an apocalyptic number.

It is an amenable number.

3667608225 is a deficient number, since it is larger than the sum of its proper divisors (3036935127).

3667608225 is a wasteful number, since it uses less digits than its factorization.

3667608225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3667608225 is about 60560.7812449608. The cubic root of 3667608225 is about 1542.1536496452.

The spelling of 3667608225 in words is "three billion, six hundred sixty-seven million, six hundred eight thousand, two hundred twenty-five".