3827960385 has 32 divisors (see below), whose sum is σ = 6230338560. Its totient is φ = 2006558400.

The previous prime is 3827960377. The next prime is 3827960413. The reversal of 3827960385 is 5830697283.

It is not a de Polignac number, because 3827960385 - 2³ = 3827960377 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347086 + ... + 357944.

It is an arithmetic number, because the mean of its divisors is an integer number (194698080).

Almost surely, 2^3827960385 is an apocalyptic number.

It is an amenable number.

3827960385 is a deficient number, since it is larger than the sum of its proper divisors (2402378175).

3827960385 is a wasteful number, since it uses less digits than its factorization.

3827960385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 3827960385 is about 61870.5130494325. The cubic root of 3827960385 is about 1564.3087632510.

The spelling of 3827960385 in words is "three billion, eight hundred twenty-seven million, nine hundred sixty thousand, three hundred eighty-five".