3837728277383 has 48 divisors (see below), whose sum is σ = 5497189750080. Its totient is φ = 2598027125760.

The previous prime is 3837728277353. The next prime is 3837728277407.

3837728277383 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3837728277383 - 2³⁴ = 3820548408199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3837728277353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10063868 + ... + 10438241.

It is an arithmetic number, because the mean of its divisors is an integer number (114524786460).

Almost surely, 2^{3837728277383} is an apocalyptic number.

3837728277383 is a deficient number, since it is larger than the sum of its proper divisors (1659461472697).

3837728277383 is a wasteful number, since it uses less digits than its factorization.

3837728277383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20502168 (or 20502157 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 68.

The spelling of 3837728277383 in words is "three trillion, eight hundred thirty-seven billion, seven hundred twenty-eight million, two hundred seventy-seven thousand, three hundred eighty-three".