3829152 has 24 divisors (see below), whose sum is σ = 10051776. Its totient is φ = 1276352.

The previous prime is 3829141. The next prime is 3829157. The reversal of 3829152 is 2519283.

It is a happy number.

3829152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829157) 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 3 ways as a sum of consecutive naturals, for example, 19848 + ... + 20039.

It is an arithmetic number, because the mean of its divisors is an integer number (418824).

Almost surely, 2^3829152 is an apocalyptic number.

3829152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3829152 is an abundant number, since it is smaller than the sum of its proper divisors (6222624).

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

3829152 is a wasteful number, since it uses less digits than its factorization.

3829152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39900 (or 39892 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 3829152 is about 1956.8219132052. The cubic root of 3829152 is about 156.4471065557.

The spelling of 3829152 in words is "three million, eight hundred twenty-nine thousand, one hundred fifty-two".