3504444240 has 320 divisors, whose sum is σ = 12213504000. Its totient is φ = 824064000.

The previous prime is 3504444239. The next prime is 3504444241. The reversal of 3504444240 is 424444053.

It is an interprime number because it is at equal distance from previous prime (3504444239) and next prime (3504444241).

It is a super-2 number, since 2×3504444240² = 24562258862538355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3504444198 and 3504444207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504444241) 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 63 ways as a sum of consecutive naturals, for example, 23208165 + ... + 23208315.

It is an arithmetic number, because the mean of its divisors is an integer number (38167200).

Almost surely, 2^3504444240 is an apocalyptic number.

3504444240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3504444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752000).

3504444240 is an abundant number, since it is smaller than the sum of its proper divisors (8709059760).

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

3504444240 is a wasteful number, since it uses less digits than its factorization.

3504444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 3504444240 is about 59198.3465985326. The cubic root of 3504444240 is about 1518.9368488975.

Adding to 3504444240 its reverse (424444053), we get a palindrome (3928888293).

It can be divided in two parts, 3504 and 444240, that added together give a palindrome (447744).

The spelling of 3504444240 in words is "three billion, five hundred four million, four hundred forty-four thousand, two hundred forty".