3827721038713 has 32 divisors (see below), whose sum is σ = 4573889832960. Its totient is φ = 3157441335360.

The previous prime is 3827721038681. The next prime is 3827721038723. The reversal of 3827721038713 is 3178301277283.

It is not a de Polignac number, because 3827721038713 - 2⁵ = 3827721038681 is a prime.

It is a super-2 number, since 2×3827721038713² (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 (3827721038723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818106 + ... + 3310732.

It is an arithmetic number, because the mean of its divisors is an integer number (142934057280).

Almost surely, 2^{3827721038713} is an apocalyptic number.

It is an amenable number.

3827721038713 is a deficient number, since it is larger than the sum of its proper divisors (746168794247).

3827721038713 is a wasteful number, since it uses less digits than its factorization.

3827721038713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492957.

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 3827721038713 in words is "three trillion, eight hundred twenty-seven billion, seven hundred twenty-one million, thirty-eight thousand, seven hundred thirteen".