3488189612544 has 960 divisors, whose sum is σ = 13413833959680. Its totient is φ = 871429570560.

The previous prime is 3488189612543. The next prime is 3488189612599. The reversal of 3488189612544 is 4452169818843.

It is a happy number.

3488189612544 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 1 + 8 + 9 + 612 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3488189612543) 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 95 ways as a sum of consecutive naturals, for example, 454128384 + ... + 454136064.

It is an arithmetic number, because the mean of its divisors is an integer number (13972743708).

Almost surely, 2^{3488189612544} 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 3488189612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706916979840).

3488189612544 is an abundant number, since it is smaller than the sum of its proper divisors (9925644347136).

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

3488189612544 is a wasteful number, since it uses less digits than its factorization.

3488189612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7725 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 3488189612544 in words is "three trillion, four hundred eighty-eight billion, one hundred eighty-nine million, six hundred twelve thousand, five hundred forty-four".