3825840 has 80 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 965376.

The previous prime is 3825827. The next prime is 3825851. The reversal of 3825840 is 485283.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 3825798 and 3825807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4141 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^3825840 is an apocalyptic number.

3825840 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 3825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3825840 is an abundant number, since it is smaller than the sum of its proper divisors (8673360).

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

3825840 is a wasteful number, since it uses less digits than its factorization.

3825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3825840 is about 1955.9754599688. The cubic root of 3825840 is about 156.4019875773.

It can be divided in two parts, 38 and 25840, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 3825840 in words is "three million, eight hundred twenty-five thousand, eight hundred forty".