3384128 has 84 divisors (see below), whose sum is σ = 8107680. Its totient is φ = 1393920.

The previous prime is 3384127. The next prime is 3384133. The reversal of 3384128 is 8214833.

It is a happy number.

It is a super-2 number, since 2×3384128² = 22904644640768, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3384128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147125 + ... + 147147.

It is an arithmetic number, because the mean of its divisors is an integer number (96520).

Almost surely, 2^3384128 is an apocalyptic number.

3384128 is a gapful number since it is divisible by the number (38) 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 3384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053840).

3384128 is an abundant number, since it is smaller than the sum of its proper divisors (4723552).

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

3384128 is a wasteful number, since it uses less digits than its factorization.

3384128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 55 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 3384128 is about 1839.5999565123. The cubic root of 3384128 is about 150.1351078988.

The spelling of 3384128 in words is "three million, three hundred eighty-four thousand, one hundred twenty-eight".