385375312377 has 72 divisors (see below), whose sum is σ = 625284426312. Its totient is φ = 228462474240.

The previous prime is 385375312373. The next prime is 385375312417. The reversal of 385375312377 is 773213573583.

It is a happy number.

385375312377 is a `hidden beast` number, since 3 + 8 + 5 + 37 + 531 + 2 + 3 + 77 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151511481 + 385223800896 = 12309^2 + 620664^2 .

It is not a de Polignac number, because 385375312377 - 2² = 385375312373 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385375312373) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19440723 + ... + 19460535.

It is an arithmetic number, because the mean of its divisors is an integer number (8684505921).

Almost surely, 2^385375312377 is an apocalyptic number.

It is an amenable number.

385375312377 is a deficient number, since it is larger than the sum of its proper divisors (239909113935).

385375312377 is a wasteful number, since it uses less digits than its factorization.

385375312377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20231 (or 20217 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 385375312377 in words is "three hundred eighty-five billion, three hundred seventy-five million, three hundred twelve thousand, three hundred seventy-seven".