3424140432 has 320 divisors, whose sum is σ = 10686816000. Its totient is φ = 1047416832.

The previous prime is 3424140431. The next prime is 3424140451. The reversal of 3424140432 is 2340414243.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3424140396 and 3424140405.

It is not an unprimeable number, because it can be changed into a prime (3424140431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38473444 + ... + 38473532.

It is an arithmetic number, because the mean of its divisors is an integer number (33396300).

Almost surely, 2^3424140432 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 3424140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408000).

3424140432 is an abundant number, since it is smaller than the sum of its proper divisors (7262675568).

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

3424140432 is a wasteful number, since it uses less digits than its factorization.

3424140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3424140432 is about 58516.1553077439. The cubic root of 3424140432 is about 1507.2450141735.

Adding to 3424140432 its reverse (2340414243), we get a palindrome (5764554675).

The spelling of 3424140432 in words is "three billion, four hundred twenty-four million, one hundred forty thousand, four hundred thirty-two".