3842000 has 80 divisors (see below), whose sum is σ = 9923472. Its totient is φ = 1433600.

The previous prime is 3841997. The next prime is 3842011. The reversal of 3842000 is 2483.

It can be written as a sum of positive squares in 8 ways, for example, as 1915456 + 1926544 = 1384^2 + 1388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 3842000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33944 + ... + 34056.

Almost surely, 2^3842000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961736).

3842000 is an abundant number, since it is smaller than the sum of its proper divisors (6081472).

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

3842000 is a wasteful number, since it uses less digits than its factorization.

3842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3842000 is about 1960.1020381603. The cubic root of 3842000 is about 156.6218875091.

Adding to 3842000 its reverse (2483), we get a palindrome (3844483).

The spelling of 3842000 in words is "three million, eight hundred forty-two thousand".