3287728370193 has 16 divisors (see below), whose sum is σ = 4451394816000. Its totient is φ = 2158023969360.

The previous prime is 3287728370167. The next prime is 3287728370293. The reversal of 3287728370193 is 3910738277823.

It is a happy number.

It is not a de Polignac number, because 3287728370193 - 2²² = 3287724175889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3287728370293) 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, 10285993 + ... + 10600806.

It is an arithmetic number, because the mean of its divisors is an integer number (278212176000).

Almost surely, 2^{3287728370193} is an apocalyptic number.

It is an amenable number.

3287728370193 is a deficient number, since it is larger than the sum of its proper divisors (1163666445807).

3287728370193 is a wasteful number, since it uses less digits than its factorization.

3287728370193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20887612.

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 3287728370193 in words is "three trillion, two hundred eighty-seven billion, seven hundred twenty-eight million, three hundred seventy thousand, one hundred ninety-three".