3424128 has 64 divisors (see below), whose sum is σ = 9379920. Its totient is φ = 1105920.

The previous prime is 3424121. The next prime is 3424151. The reversal of 3424128 is 8214243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3424128³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 3424098 and 3424107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14088 + ... + 14328.

Almost surely, 2^3424128 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 3424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689960).

3424128 is an abundant number, since it is smaller than the sum of its proper divisors (5955792).

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

3424128 is a wasteful number, since it uses less digits than its factorization.

3424128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3424128 is about 1850.4399476881. The cubic root of 3424128 is about 150.7243190057.

It can be divided in two parts, 3 and 424128, that multiplied together give a square (1272384 = 1128²).

The spelling of 3424128 in words is "three million, four hundred twenty-four thousand, one hundred twenty-eight".