3667003370000 has 50 divisors (see below), whose sum is σ = 8878181883318. Its totient is φ = 1466801344000.

The previous prime is 3667003369949. The next prime is 3667003370003. The reversal of 3667003370000 is 733007663.

3667003370000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1155298223104 + 2511705146896 = 1074848^2 + 1584836^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (3667003370003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 183340169 + ... + 183360168.

Almost surely, 2^{3667003370000} is an apocalyptic number.

It is an amenable number.

3667003370000 is an abundant number, since it is smaller than the sum of its proper divisors (5211178513318).

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

3667003370000 is an equidigital number, since it uses as much as digits as its factorization.

3667003370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366700365 (or 366700344 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 35.

Adding to 3667003370000 its reverse (733007663), we get a palindrome (3667736377663).

The spelling of 3667003370000 in words is "three trillion, six hundred sixty-seven billion, three million, three hundred seventy thousand".