3805152 has 48 divisors (see below), whose sum is σ = 10760400. Its totient is φ = 1170432.

The previous prime is 3805133. The next prime is 3805159. The reversal of 3805152 is 2515083.

3805152 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3805159) 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, 277 + ... + 2772.

It is an arithmetic number, because the mean of its divisors is an integer number (224175).

Almost surely, 2^3805152 is an apocalyptic number.

3805152 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 3805152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380200).

3805152 is an abundant number, since it is smaller than the sum of its proper divisors (6955248).

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

3805152 is a wasteful number, since it uses less digits than its factorization.

3805152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 3805152 is about 1950.6798814772. The cubic root of 3805152 is about 156.1195664543.

The spelling of 3805152 in words is "three million, eight hundred five thousand, one hundred fifty-two".