3383424 has 128 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1013760.

The previous prime is 3383423. The next prime is 3383431. The reversal of 3383424 is 4243833.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3383424² = 22895115927552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (3383423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37972 + ... + 38060.

Almost surely, 2^3383424 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 3383424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

3383424 is an abundant number, since it is smaller than the sum of its proper divisors (7632576).

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

3383424 is a wasteful number, since it uses less digits than its factorization.

3383424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3383424 is about 1839.4086006105. The cubic root of 3383424 is about 150.1246963101.

The spelling of 3383424 in words is "three million, three hundred eighty-three thousand, four hundred twenty-four".