3451322440000 has 280 divisors, whose sum is σ = 8654229210176. Its totient is φ = 1365120000000.

The previous prime is 3451322439991. The next prime is 3451322440021. The reversal of 3451322440000 is 442231543.

It is a happy number.

It is a super-3 number, since 3×3451322440000³ (a number of 39 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1455638815 + ... + 1455641185.

Almost surely, 2^{3451322440000} 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 3451322440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327114605088).

3451322440000 is an abundant number, since it is smaller than the sum of its proper divisors (5202906770176).

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

3451322440000 is a wasteful number, since it uses less digits than its factorization.

3451322440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 3451322440000 its reverse (442231543), we get a palindrome (3451764671543).

The spelling of 3451322440000 in words is "three trillion, four hundred fifty-one billion, three hundred twenty-two million, four hundred forty thousand".