3821328 has 120 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1022976.

The previous prime is 3821327. The next prime is 3821329. The reversal of 3821328 is 8231283.

It is an interprime number because it is at equal distance from previous prime (3821327) and next prime (3821329).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3821327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17025 + ... + 17247.

Almost surely, 2^3821328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3821328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

3821328 is an abundant number, since it is smaller than the sum of its proper divisors (9177840).

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

3821328 is a wasteful number, since it uses less digits than its factorization.

3821328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3821328 is about 1954.8217310026. The cubic root of 3821328 is about 156.3404792230.

The spelling of 3821328 in words is "three million, eight hundred twenty-one thousand, three hundred twenty-eight".