3431121408000 has 2496 divisors, whose sum is σ = 15002837950464. Its totient is φ = 743178240000.

The previous prime is 3431121407947. The next prime is 3431121408017. The reversal of 3431121408000 is 8041211343.

3431121408000 is a `hidden beast` number, since 3 + 431 + 12 + 140 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27016703937 + ... + 27016704063.

It is an arithmetic number, because the mean of its divisors is an integer number (6010752384).

Almost surely, 2^{3431121408000} is an apocalyptic number.

3431121408000 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 3431121408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501418975232).

3431121408000 is an abundant number, since it is smaller than the sum of its proper divisors (11571716542464).

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

3431121408000 is a wasteful number, since it uses less digits than its factorization.

3431121408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 3431121408000 its reverse (8041211343), we get a palindrome (3439162619343).

The spelling of 3431121408000 in words is "three trillion, four hundred thirty-one billion, one hundred twenty-one million, four hundred eight thousand".