3484881551424 has 336 divisors, whose sum is σ = 12011127290880. Its totient is φ = 870715422720.

The previous prime is 3484881551423. The next prime is 3484881551441. The reversal of 3484881551424 is 4241551884843.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3484881551423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3911829 + ... + 4719339.

Almost surely, 2^{3484881551424} 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 3484881551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005563645440).

3484881551424 is an abundant number, since it is smaller than the sum of its proper divisors (8526245739456).

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

3484881551424 is a wasteful number, since it uses less digits than its factorization.

3484881551424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807578 (or 807555 counting only the distinct ones).

The product of its digits is 19660800, while the sum is 57.

The spelling of 3484881551424 in words is "three trillion, four hundred eighty-four billion, eight hundred eighty-one million, five hundred fifty-one thousand, four hundred twenty-four".