3424133024 has 96 divisors (see below), whose sum is σ = 7591127040. Its totient is φ = 1509580800.

The previous prime is 3424132997. The next prime is 3424133029. The reversal of 3424133024 is 4203314243.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3424132984 and 3424133002.

It is not an unprimeable number, because it can be changed into a prime (3424133029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017104 + ... + 1020464.

It is an arithmetic number, because the mean of its divisors is an integer number (79074240).

Almost surely, 2^3424133024 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 3424133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795563520).

3424133024 is an abundant number, since it is smaller than the sum of its proper divisors (4166994016).

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

3424133024 is a wasteful number, since it uses less digits than its factorization.

3424133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3424133024 is about 58516.0920089508. The cubic root of 3424133024 is about 1507.2439272166.

Adding to 3424133024 its reverse (4203314243), we get a palindrome (7627447267).

The spelling of 3424133024 in words is "three billion, four hundred twenty-four million, one hundred thirty-three thousand, twenty-four".