3825216 has 84 divisors (see below), whose sum is σ = 11391900. Its totient is φ = 1225728.

The previous prime is 3825209. The next prime is 3825223. The reversal of 3825216 is 6125283.

It is an interprime number because it is at equal distance from previous prime (3825209) and next prime (3825223).

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 921600 = 1704^2 + 960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3825216.

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, 16590 + ... + 16818.

Almost surely, 2^3825216 is an apocalyptic number.

3825216 is a gapful number since it is divisible by the number (36) 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 3825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695950).

3825216 is an abundant number, since it is smaller than the sum of its proper divisors (7566684).

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

3825216 is a wasteful number, since it uses less digits than its factorization.

3825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 3825216 is about 1955.8159422604. The cubic root of 3825216 is about 156.3934839853.

The spelling of 3825216 in words is "three million, eight hundred twenty-five thousand, two hundred sixteen".