3363105989967 has 16 divisors (see below), whose sum is σ = 4500532414080. Its totient is φ = 2233877036832.

The previous prime is 3363105989959. The next prime is 3363105989983. The reversal of 3363105989967 is 7699895013633.

It is not a de Polignac number, because 3363105989967 - 2³ = 3363105989959 is a prime.

It is a super-2 number, since 2×3363105989967² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363105989917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6884409 + ... + 7356717.

It is an arithmetic number, because the mean of its divisors is an integer number (281283275880).

Almost surely, 2^{3363105989967} is an apocalyptic number.

3363105989967 is a deficient number, since it is larger than the sum of its proper divisors (1137426424113).

3363105989967 is a wasteful number, since it uses less digits than its factorization.

3363105989967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480982.

The product of its (nonzero) digits is 198404640, while the sum is 69.

The spelling of 3363105989967 in words is "three trillion, three hundred sixty-three billion, one hundred five million, nine hundred eighty-nine thousand, nine hundred sixty-seven".