3667003333667 has 32 divisors (see below), whose sum is σ = 4020479432064. Its totient is φ = 3331567411200.

The previous prime is 3667003333601. The next prime is 3667003333729. The reversal of 3667003333667 is 7663333007663.

It is not a de Polignac number, because 3667003333667 - 2¹² = 3667003329571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3667003333967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11919317 + ... + 12223097.

It is an arithmetic number, because the mean of its divisors is an integer number (125639982252).

Almost surely, 2^{3667003333667} is an apocalyptic number.

3667003333667 is a deficient number, since it is larger than the sum of its proper divisors (353476098397).

3667003333667 is a wasteful number, since it uses less digits than its factorization.

3667003333667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304079.

The product of its (nonzero) digits is 15431472, while the sum is 53.

The spelling of 3667003333667 in words is "three trillion, six hundred sixty-seven billion, three million, three hundred thirty-three thousand, six hundred sixty-seven".