3667666628367 has 96 divisors (see below), whose sum is σ = 6358128566400. Its totient is φ = 1993552404480.

The previous prime is 3667666628359. The next prime is 3667666628377. The reversal of 3667666628367 is 7638266667663.

It is not a de Polignac number, because 3667666628367 - 2³ = 3667666628359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3667666628295 and 3667666628304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667666628377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34662759 + ... + 34768407.

It is an arithmetic number, because the mean of its divisors is an integer number (66230505900).

Almost surely, 2^{3667666628367} is an apocalyptic number.

3667666628367 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3667666628367 is a deficient number, since it is larger than the sum of its proper divisors (2690461938033).

3667666628367 is a wasteful number, since it uses less digits than its factorization.

3667666628367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106033 (or 106030 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 72.

The spelling of 3667666628367 in words is "three trillion, six hundred sixty-seven billion, six hundred sixty-six million, six hundred twenty-eight thousand, three hundred sixty-seven".