3825600 has 84 divisors (see below), whose sum is σ = 12566904. Its totient is φ = 1018880.

The previous prime is 3825599. The next prime is 3825623. The reversal of 3825600 is 65283.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4402 + ... + 5198.

It is an arithmetic number, because the mean of its divisors is an integer number (149606).

Almost surely, 2^3825600 is an apocalyptic number.

3825600 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 3825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283452).

3825600 is an abundant number, since it is smaller than the sum of its proper divisors (8741304).

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

3825600 is a wasteful number, since it uses less digits than its factorization.

3825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3825600 is about 1955.9141085436. The cubic root of 3825600 is about 156.3987170744.

The spelling of 3825600 in words is "three million, eight hundred twenty-five thousand, six hundred".