3667000003338 has 48 divisors (see below), whose sum is σ = 8541050188320. Its totient is φ = 1046527673184.

The previous prime is 3667000003309. The next prime is 3667000003357. The reversal of 3667000003338 is 8333000007663.

3667000003338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3667000003338² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3667000003296 and 3667000003305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6803133 + ... + 7322336.

It is an arithmetic number, because the mean of its divisors is an integer number (177938545590).

Almost surely, 2^{3667000003338} is an apocalyptic number.

3667000003338 is an abundant number, since it is smaller than the sum of its proper divisors (4874050184982).

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

3667000003338 is a wasteful number, since it uses less digits than its factorization.

3667000003338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14126371 (or 14126364 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 3667000003338 in words is "three trillion, six hundred sixty-seven billion, three thousand, three hundred thirty-eight".