3828825 has 144 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 1382400.

The previous prime is 3828821. The next prime is 3828857. The reversal of 3828825 is 5288283.

3828825 = T₅₁₉ + T₅₂₀ + ... + T₅₄₅.

It is not a de Polignac number, because 3828825 - 2² = 3828821 is a prime.

Its product of digits (30720) is a multiple of the sum of its prime factors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3828825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828821) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225217 + ... + 225233.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

Almost surely, 2^3828825 is an apocalyptic number.

3828825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3828825 is an abundant number, since it is smaller than the sum of its proper divisors (5920551).

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

3828825 is a wasteful number, since it uses less digits than its factorization.

3828825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 3828825 is about 1956.7383575736. The cubic root of 3828825 is about 156.4426530318.

It can be divided in two parts, 3 and 828825, that added together give a palindrome (828828).

The spelling of 3828825 in words is "three million, eight hundred twenty-eight thousand, eight hundred twenty-five".