3827952 has 40 divisors (see below), whose sum is σ = 10988880. Its totient is φ = 1275840.

The previous prime is 3827947. The next prime is 3827953. The reversal of 3827952 is 2597283.

It is a happy number.

3827952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3⁷ + 8³ + 2¹⁹ + 7⁷ + 9 + 5⁹ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827953) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3999 + ... + 4862.

It is an arithmetic number, because the mean of its divisors is an integer number (274722).

Almost surely, 2^3827952 is an apocalyptic number.

It is an amenable number.

3827952 is an abundant number, since it is smaller than the sum of its proper divisors (7160928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3827952 is a wasteful number, since it uses less digits than its factorization.

3827952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8866 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3827952 is about 1956.5152695545. The cubic root of 3827952 is about 156.4307621064.

The spelling of 3827952 in words is "three million, eight hundred twenty-seven thousand, nine hundred fifty-two".