3667608320 has 36 divisors (see below), whose sum is σ = 8785071120. Its totient is φ = 1467042816.

The previous prime is 3667608289. The next prime is 3667608367. The reversal of 3667608320 is 238067663.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1431380 + ... + 1433939.

Almost surely, 2^3667608320 is an apocalyptic number.

It is an amenable number.

3667608320 is an abundant number, since it is smaller than the sum of its proper divisors (5117462800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3667608320 is an equidigital number, since it uses as much as digits as its factorization.

3667608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865340 (or 2865326 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 3667608320 is about 60560.7820292968. The cubic root of 3667608320 is about 1542.1536629604.

The spelling of 3667608320 in words is "three billion, six hundred sixty-seven million, six hundred eight thousand, three hundred twenty".