3825120 has 96 divisors (see below), whose sum is σ = 12997152. Its totient is φ = 940032.

The previous prime is 3825109. The next prime is 3825167. The reversal of 3825120 is 215283.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5934 + ... + 6546.

It is an arithmetic number, because the mean of its divisors is an integer number (135387).

Almost surely, 2^3825120 is an apocalyptic number.

3825120 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 3825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498576).

3825120 is an abundant number, since it is smaller than the sum of its proper divisors (9172032).

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

3825120 is a wasteful number, since it uses less digits than its factorization.

3825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3825120 is about 1955.7913999197. The cubic root of 3825120 is about 156.3921756584.

The spelling of 3825120 in words is "three million, eight hundred twenty-five thousand, one hundred twenty".