3528384 has 112 divisors (see below), whose sum is σ = 10533888. Its totient is φ = 1036288.

The previous prime is 3528379. The next prime is 3528397. The reversal of 3528384 is 4838253.

3528384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

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 15 ways as a sum of consecutive naturals, for example, 75049 + ... + 75095.

Almost surely, 2^3528384 is an apocalyptic number.

3528384 is a gapful number since it is divisible by the number (34) 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 3528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266944).

3528384 is an abundant number, since it is smaller than the sum of its proper divisors (7005504).

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

3528384 is a wasteful number, since it uses less digits than its factorization.

3528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 3528384 is about 1878.3993185689. The cubic root of 3528384 is about 152.2387752219.

The spelling of 3528384 in words is "three million, five hundred twenty-eight thousand, three hundred eighty-four".