3825504 has 72 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1237248.

The previous prime is 3825473. The next prime is 3825509. The reversal of 3825504 is 4055283.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10477 + ... + 10835.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 2^3825504 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 3825504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

3825504 is an abundant number, since it is smaller than the sum of its proper divisors (7378416).

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

3825504 is a wasteful number, since it uses less digits than its factorization.

3825504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3825504 is about 1955.8895674347. The cubic root of 3825504 is about 156.3974088350.

It can be divided in two parts, 382 and 5504, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 3825504 in words is "three million, eight hundred twenty-five thousand, five hundred four".