3853152 has 72 divisors (see below), whose sum is σ = 11616696. Its totient is φ = 1207296.

The previous prime is 3853151. The next prime is 3853163. The reversal of 3853152 is 2513583.

3853152 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853151) 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 11 ways as a sum of consecutive naturals, for example, 4503 + ... + 5289.

It is an arithmetic number, because the mean of its divisors is an integer number (161343).

Almost surely, 2^3853152 is an apocalyptic number.

3853152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3853152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808348).

3853152 is an abundant number, since it is smaller than the sum of its proper divisors (7763544).

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

3853152 is a wasteful number, since it uses less digits than its factorization.

3853152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 809 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 3853152 is about 1962.9447266798. The cubic root of 3853152 is about 156.7732808839.

It can be divided in two parts, 38531 and 52, that added together give a palindrome (38583).

The spelling of 3853152 in words is "three million, eight hundred fifty-three thousand, one hundred fifty-two".