3407333673667 has 24 divisors (see below), whose sum is σ = 4322666115936. Its totient is φ = 2628777360000.

The previous prime is 3407333673643. The next prime is 3407333673671. The reversal of 3407333673667 is 7663763337043.

3407333673667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3407333673667 - 2¹¹ = 3407333671619 is a prime.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3407333677667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19829434 + ... + 20000527.

It is an arithmetic number, because the mean of its divisors is an integer number (180111088164).

Almost surely, 2^{3407333673667} is an apocalyptic number.

3407333673667 is a deficient number, since it is larger than the sum of its proper divisors (915332442269).

3407333673667 is a wasteful number, since it uses less digits than its factorization.

3407333673667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39830091 (or 39830080 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 58.

The spelling of 3407333673667 in words is "three trillion, four hundred seven billion, three hundred thirty-three million, six hundred seventy-three thousand, six hundred sixty-seven".