386121803769 has 135 divisors (see below), whose sum is σ = 643850483133. Its totient is φ = 230499779328.

The previous prime is 386121803747. The next prime is 386121803783. The reversal of 386121803769 is 967308121683.

The square root of 386121803769 is 621387.

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

386121803769 is a `hidden beast` number, since 3 + 8 + 612 + 18 + 0 + 3 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288140283369 + 97981520400 = 536787^2 + 313020^2 .

It is not a de Polignac number, because 386121803769 - 2³³ = 377531869177 is a prime.

It is a super-2 number, since 2×386121803769² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (386121803069) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3417007057 + ... + 3417007169.

Almost surely, 2^386121803769 is an apocalyptic number.

386121803769 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

386121803769 is the 621387-th square number.

386121803769 is the 310694-th centered octagonal number.

It is an amenable number.

386121803769 is a deficient number, since it is larger than the sum of its proper divisors (257728679364).

386121803769 is an equidigital number, since it uses as much as digits as its factorization.

386121803769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 386121803769 in words is "three hundred eighty-six billion, one hundred twenty-one million, eight hundred three thousand, seven hundred sixty-nine".