3443200671040 has 224 divisors, whose sum is σ = 9097562781216. Its totient is φ = 1233357373440.

The previous prime is 3443200671007. The next prime is 3443200671077. The reversal of 3443200671040 is 401760023443.

It can be written as a sum of positive squares in 16 ways, for example, as 1886535214144 + 1556665456896 = 1373512^2 + 1247664^2 .

It is a super-2 number, since 2×3443200671040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3443200670987 and 3443200671005.

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, 18431544 + ... + 18617416.

It is an arithmetic number, because the mean of its divisors is an integer number (40614119559).

Almost surely, 2^{3443200671040} 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 3443200671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548781390608).

3443200671040 is an abundant number, since it is smaller than the sum of its proper divisors (5654362110176).

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

3443200671040 is a wasteful number, since it uses less digits than its factorization.

3443200671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186037 (or 186027 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

Adding to 3443200671040 its reverse (401760023443), we get a palindrome (3844960694483).

The spelling of 3443200671040 in words is "three trillion, four hundred forty-three billion, two hundred million, six hundred seventy-one thousand, forty".