3825360 has 320 divisors, whose sum is σ = 17141760. Its totient is φ = 760320.

The previous prime is 3825359. The next prime is 3825373. The reversal of 3825360 is 635283.

3825360 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

3825360 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166309 + ... + 166331.

It is an arithmetic number, because the mean of its divisors is an integer number (53568).

Almost surely, 2^3825360 is an apocalyptic number.

3825360 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 3825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

3825360 is an abundant number, since it is smaller than the sum of its proper divisors (13316400).

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

3825360 is a wasteful number, since it uses less digits than its factorization.

3825360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3825360 is about 1955.8527551940. The cubic root of 3825360 is about 156.3954464348.

The spelling of 3825360 in words is "three million, eight hundred twenty-five thousand, three hundred sixty".