3852000 has 144 divisors (see below), whose sum is σ = 13798512. Its totient is φ = 1017600.

The previous prime is 3851993. The next prime is 3852001. The reversal of 3852000 is 2583.

3852000 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 (144).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852001) 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 23 ways as a sum of consecutive naturals, for example, 35947 + ... + 36053.

It is an arithmetic number, because the mean of its divisors is an integer number (95823).

Almost surely, 2^3852000 is an apocalyptic number.

3852000 is a gapful number since it is divisible by the number (30) 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 3852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899256).

3852000 is an abundant number, since it is smaller than the sum of its proper divisors (9946512).

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

3852000 is a wasteful number, since it uses less digits than its factorization.

3852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3852000 is about 1962.6512680555. The cubic root of 3852000 is about 156.7576555101.

Adding to 3852000 its reverse (2583), we get a palindrome (3854583).

The spelling of 3852000 in words is "three million, eight hundred fifty-two thousand".