3424305440 has 48 divisors (see below), whose sum is σ = 8120097720. Its totient is φ = 1364613120.

The previous prime is 3424305439. The next prime is 3424305463. The reversal of 3424305440 is 445034243.

It can be written as a sum of positive squares in 4 ways, for example, as 1256844304 + 2167461136 = 35452^2 + 46556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3260 + ... + 82820.

Almost surely, 2^3424305440 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 3424305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060048860).

3424305440 is an abundant number, since it is smaller than the sum of its proper divisors (4695792280).

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

3424305440 is a wasteful number, since it uses less digits than its factorization.

3424305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79845 (or 79837 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

The square root of 3424305440 is about 58517.5652261780. The cubic root of 3424305440 is about 1507.2692249689.

Adding to 3424305440 its reverse (445034243), we get a palindrome (3869339683).

The spelling of 3424305440 in words is "three billion, four hundred twenty-four million, three hundred five thousand, four hundred forty".