3451321224000 has 1344 divisors, whose sum is σ = 14164558017792. Its totient is φ = 826371072000.

The previous prime is 3451321223989. The next prime is 3451321224007. The reversal of 3451321224000 is 4221231543.

3451321224000 is a `hidden beast` number, since 3 + 4 + 5 + 132 + 122 + 400 + 0 = 666.

It is a super-3 number, since 3×3451321224000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3451321224007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 935062155 + ... + 935065845.

It is an arithmetic number, because the mean of its divisors is an integer number (10539105668).

Almost surely, 2^{3451321224000} is an apocalyptic number.

3451321224000 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 3451321224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082279008896).

3451321224000 is an abundant number, since it is smaller than the sum of its proper divisors (10713236793792).

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

3451321224000 is a wasteful number, since it uses less digits than its factorization.

3451321224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3451321224000 its reverse (4221231543), we get a palindrome (3455542455543).

The spelling of 3451321224000 in words is "three trillion, four hundred fifty-one billion, three hundred twenty-one million, two hundred twenty-four thousand".