3825900 has 144 divisors (see below), whose sum is σ = 13367200. Its totient is φ = 933120.

The previous prime is 3825893. The next prime is 3825907. The reversal of 3825900 is 95283.

3825900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3825893) and next prime (3825907).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3825907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35046 + ... + 35154.

Almost surely, 2^3825900 is an apocalyptic number.

3825900 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 3825900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683600).

3825900 is an abundant number, since it is smaller than the sum of its proper divisors (9541300).

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

3825900 is a wasteful number, since it uses less digits than its factorization.

3825900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3825900 is about 1955.9907975244. The cubic root of 3825900 is about 156.4028051816.

The spelling of 3825900 in words is "three million, eight hundred twenty-five thousand, nine hundred".