3443434234240 has 512 divisors, whose sum is σ = 11132505216000. Its totient is φ = 983565434880.

The previous prime is 3443434234237. The next prime is 3443434234411. The reversal of 3443434234240 is 424324343443.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3443434234193 and 3443434234202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89029626 + ... + 89068294.

It is an arithmetic number, because the mean of its divisors is an integer number (21743174250).

Almost surely, 2^{3443434234240} 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 3443434234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566252608000).

3443434234240 is an abundant number, since it is smaller than the sum of its proper divisors (7689070981760).

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

3443434234240 is a wasteful number, since it uses less digits than its factorization.

3443434234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38858 (or 38846 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 3443434234240 its reverse (424324343443), we get a palindrome (3867758577683).

The spelling of 3443434234240 in words is "three trillion, four hundred forty-three billion, four hundred thirty-four million, two hundred thirty-four thousand, two hundred forty".