3826000 has 40 divisors (see below), whose sum is σ = 9256104. Its totient is φ = 1529600.

The previous prime is 3825979. The next prime is 3826001. The reversal of 3826000 is 6283.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 3825936 = 8^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1044 + ... + 2956.

Almost surely, 2^3826000 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 3826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628052).

3826000 is an abundant number, since it is smaller than the sum of its proper divisors (5430104).

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

3826000 is a wasteful number, since it uses less digits than its factorization.

3826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3826000 is about 1956.0163598498. The cubic root of 3826000 is about 156.4041678366.

The spelling of 3826000 in words is "three million, eight hundred twenty-six thousand".