386348021761 has 27 divisors (see below), whose sum is σ = 422640139131. Its totient is φ = 353011411584.

The previous prime is 386348021749. The next prime is 386348021767. The reversal of 386348021761 is 167120843683.

The square root of 386348021761 is 621569.

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

It can be written as a sum of positive squares in 13 ways, for example, as 216010223361 + 170337798400 = 464769^2 + 412720^2 .

It is not a de Polignac number, because 386348021761 - 2¹¹ = 386348019713 is a prime.

It is a super-2 number, since 2×386348021761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (386348021767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1107014215 + ... + 1107014563.

Almost surely, 2^386348021761 is an apocalyptic number.

386348021761 is the 621569-th square number.

386348021761 is the 310785-th centered octagonal number.

It is an amenable number.

386348021761 is a deficient number, since it is larger than the sum of its proper divisors (36292117370).

386348021761 is an frugal number, since it uses more digits than its factorization.

386348021761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 386348021761 by its sum of digits (49), we get a square (18931053066289 = 4350983²).

The spelling of 386348021761 in words is "three hundred eighty-six billion, three hundred forty-eight million, twenty-one thousand, seven hundred sixty-one".