3828624 has 60 divisors (see below), whose sum is σ = 10343088. Its totient is φ = 1220160.

The previous prime is 3828611. The next prime is 3828637. The reversal of 3828624 is 4268283.

3828624 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 (3828611) and next prime (3828637).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46087 + ... + 46169.

Almost surely, 2^3828624 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 3828624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171544).

3828624 is an abundant number, since it is smaller than the sum of its proper divisors (6514464).

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

3828624 is a wasteful number, since it uses less digits than its factorization.

3828624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 3828624 is about 1956.6869959194. The cubic root of 3828624 is about 156.4399154188.

The spelling of 3828624 in words is "three million, eight hundred twenty-eight thousand, six hundred twenty-four".