3825420 has 48 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 1008576.

The previous prime is 3825413. The next prime is 3825421. The reversal of 3825420 is 245283.

3825420 = 688² + 689² + ... + 695².

It is not an unprimeable number, because it can be changed into a prime (3825421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5871 + ... + 6489.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^3825420 is an apocalyptic number.

3825420 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 3825420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3825420 is an abundant number, since it is smaller than the sum of its proper divisors (7007220).

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

3825420 is a wasteful number, since it uses less digits than its factorization.

3825420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3825420 is about 1955.8680937118. The cubic root of 3825420 is about 156.3962641075.

The spelling of 3825420 in words is "three million, eight hundred twenty-five thousand, four hundred twenty".