3388672768833 has 72 divisors (see below), whose sum is σ = 5580305021928. Its totient is φ = 1978447680000.

The previous prime is 3388672768801. The next prime is 3388672768847.

3388672768833 is a `hidden beast` number, since 3 + 388 + 6 + 72 + 76 + 88 + 33 = 666.

3388672768833 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2984543021889 + 404129746944 = 1727583^2 + 635712^2 .

It is not a de Polignac number, because 3388672768833 - 2⁵ = 3388672768801 is a prime.

It is a super-2 number, since 2×3388672768833² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3388672768883) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3653253 + ... + 4485933.

Almost surely, 2^{3388672768833} is an apocalyptic number.

3388672768833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3388672768833 is a deficient number, since it is larger than the sum of its proper divisors (2191632253095).

3388672768833 is a wasteful number, since it uses less digits than its factorization.

3388672768833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832847 (or 832833 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 3388672768833 in words is "three trillion, three hundred eighty-eight billion, six hundred seventy-two million, seven hundred sixty-eight thousand, eight hundred thirty-three".