38756588779441 has 81 divisors (see below), whose sum is σ = 44925889485099. Its totient is φ = 33416179903392.

The previous prime is 38756588779427. The next prime is 38756588779459. The reversal of 38756588779441 is 14497788565783.

The square root of 38756588779441 is 6225479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5733223192225 + 33023365587216 = 2394415^2 + 5746596^2 .

It is not a de Polignac number, because 38756588779441 - 2⁷ = 38756588779313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38756588779411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87486656166 + ... + 87486656608.

Almost surely, 2^{38756588779441} is an apocalyptic number.

38756588779441 is the 6225479-th square number.

38756588779441 is the 3112740-th centered octagonal number.

It is an amenable number.

38756588779441 is a deficient number, since it is larger than the sum of its proper divisors (6169300705658).

38756588779441 is an frugal number, since it uses more digits than its factorization.

38756588779441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 526 counting only the distinct ones).

The product of its digits is 11379916800, while the sum is 82.

The spelling of 38756588779441 in words is "thirty-eight trillion, seven hundred fifty-six billion, five hundred eighty-eight million, seven hundred seventy-nine thousand, four hundred forty-one".