3488948031744 has 864 divisors, whose sum is σ = 12795374592000. Its totient is φ = 932286910464.

The previous prime is 3488948031719. The next prime is 3488948031749. The reversal of 3488948031744 is 4471308498843.

3488948031744 is a `hidden beast` number, since 3 + 4 + 8 + 89 + 480 + 3 + 1 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (3488948031749) 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, 508367257 + ... + 508374119.

Almost surely, 2^{3488948031744} 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 3488948031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397687296000).

3488948031744 is an abundant number, since it is smaller than the sum of its proper divisors (9306426560256).

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

3488948031744 is a wasteful number, since it uses less digits than its factorization.

3488948031744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 3488948031744 in words is "three trillion, four hundred eighty-eight billion, nine hundred forty-eight million, thirty-one thousand, seven hundred forty-four".