3441024432240 has 160 divisors (see below), whose sum is σ = 10734122972160. Its totient is φ = 911850780672.

The previous prime is 3441024432227. The next prime is 3441024432253. The reversal of 3441024432240 is 422344201443.

It is an interprime number because it is at equal distance from previous prime (3441024432227) and next prime (3441024432253).

It is a super-2 number, since 2×3441024432240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169007181 + ... + 169027539.

It is an arithmetic number, because the mean of its divisors is an integer number (67088268576).

Almost surely, 2^{3441024432240} is an apocalyptic number.

3441024432240 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 3441024432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367061486080).

3441024432240 is an abundant number, since it is smaller than the sum of its proper divisors (7293098539920).

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

3441024432240 is a wasteful number, since it uses less digits than its factorization.

3441024432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24759 (or 24753 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 3441024432240 its reverse (422344201443), we get a palindrome (3863368633683).

The spelling of 3441024432240 in words is "three trillion, four hundred forty-one billion, twenty-four million, four hundred thirty-two thousand, two hundred forty".