3403144080000 has 720 divisors, whose sum is σ = 14235269201010. Its totient is φ = 777853440000.

The previous prime is 3403144079987. The next prime is 3403144080059. The reversal of 3403144080000 is 804413043.

3403144080000 is a `hidden beast` number, since 340 + 314 + 4 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 618437542464 + 2784706537536 = 786408^2 + 1668744^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 89 ways as a sum of consecutive naturals, for example, 35231770 + ... + 35328230.

Almost surely, 2^{3403144080000} is an apocalyptic number.

3403144080000 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 3403144080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117634600505).

3403144080000 is an abundant number, since it is smaller than the sum of its proper divisors (10832125121010).

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

3403144080000 is an equidigital number, since it uses as much as digits as its factorization.

3403144080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96515 (or 96478 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3403144080000 its reverse (804413043), we get a palindrome (3403948493043).

The spelling of 3403144080000 in words is "three trillion, four hundred three billion, one hundred forty-four million, eighty thousand".