3827434144 has 24 divisors (see below), whose sum is σ = 7538983200. Its totient is φ = 1912771776.

The previous prime is 3827434129. The next prime is 3827434159. The reversal of 3827434144 is 4414347283.

It is an interprime number because it is at equal distance from previous prime (3827434129) and next prime (3827434159).

It is a junction number, because it is equal to n+sod(n) for n = 3827434097 and 3827434106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38677 + ... + 95659.

It is an arithmetic number, because the mean of its divisors is an integer number (314124300).

Almost surely, 2^3827434144 is an apocalyptic number.

It is an amenable number.

3827434144 is a deficient number, since it is larger than the sum of its proper divisors (3711549056).

3827434144 is a wasteful number, since it uses less digits than its factorization.

3827434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59092 (or 59084 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 3827434144 is about 61866.2601423425. The cubic root of 3827434144 is about 1564.2370765867.

The spelling of 3827434144 in words is "three billion, eight hundred twenty-seven million, four hundred thirty-four thousand, one hundred forty-four".