38403644680753 has 8 divisors (see below), whose sum is σ = 41924326363776. Its totient is φ = 34887869874000.

The previous prime is 38403644680741. The next prime is 38403644680757. The reversal of 38403644680753 is 35708644630483.

38403644680753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 38403644680753 - 2¹⁷ = 38403644549681 is a prime.

It is a super-3 number, since 3×38403644680753³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38403644680691 and 38403644680700.

It is not an unprimeable number, because it can be changed into a prime (38403644680757) 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 7 ways as a sum of consecutive naturals, for example, 1226702698 + ... + 1226734003.

It is an arithmetic number, because the mean of its divisors is an integer number (5240540795472).

Almost surely, 2^{38403644680753} is an apocalyptic number.

It is an amenable number.

38403644680753 is a deficient number, since it is larger than the sum of its proper divisors (3520681683023).

38403644680753 is a wasteful number, since it uses less digits than its factorization.

38403644680753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453438135.

The product of its (nonzero) digits is 139345920, while the sum is 61.

The spelling of 38403644680753 in words is "thirty-eight trillion, four hundred three billion, six hundred forty-four million, six hundred eighty thousand, seven hundred fifty-three".