3488948678656 has 416 divisors, whose sum is σ = 8619815232000. Its totient is φ = 1378807971840.

The previous prime is 3488948678651. The next prime is 3488948678687. The reversal of 3488948678656 is 6568768498843.

It is a self number, because there is not a number n which added to its sum of digits gives 3488948678656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488948678651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4302032491 + ... + 4302033301.

Almost surely, 2^{3488948678656} 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 3488948678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309907616000).

3488948678656 is an abundant number, since it is smaller than the sum of its proper divisors (5130866553344).

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

3488948678656 is a wasteful number, since it uses less digits than its factorization.

3488948678656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1041 counting only the distinct ones).

The product of its digits is 13377208320, while the sum is 82.

The spelling of 3488948678656 in words is "three trillion, four hundred eighty-eight billion, nine hundred forty-eight million, six hundred seventy-eight thousand, six hundred fifty-six".