3367768799201 has 8 divisors (see below), whose sum is σ = 3369322936584. Its totient is φ = 3366215019520.

The previous prime is 3367768799173. The next prime is 3367768799243. The reversal of 3367768799201 is 1029978677633.

3367768799201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 556784592400 + 2810984206801 = 746180^2 + 1676599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3367768799201 - 2⁶ = 3367768799137 is a prime.

It is a super-2 number, since 2×3367768799201² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3367768799401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19746845 + ... + 19916661.

It is an arithmetic number, because the mean of its divisors is an integer number (421165367073).

Almost surely, 2^{3367768799201} is an apocalyptic number.

It is an amenable number.

3367768799201 is a deficient number, since it is larger than the sum of its proper divisors (1554137383).

3367768799201 is a wasteful number, since it uses less digits than its factorization.

3367768799201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178851.

The product of its (nonzero) digits is 144027072, while the sum is 68.

The spelling of 3367768799201 in words is "three trillion, three hundred sixty-seven billion, seven hundred sixty-eight million, seven hundred ninety-nine thousand, two hundred one".