3488040864 has 432 divisors, whose sum is σ = 12687816960. Its totient is φ = 889574400.

The previous prime is 3488040811. The next prime is 3488040869. The reversal of 3488040864 is 4680408843.

It is not an unprimeable number, because it can be changed into a prime (3488040869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19270854 + ... + 19271034.

Almost surely, 2^3488040864 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 3488040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343908480).

3488040864 is an abundant number, since it is smaller than the sum of its proper divisors (9199776096).

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

3488040864 is a wasteful number, since it uses less digits than its factorization.

3488040864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3488040864 is about 59059.6381973341. The cubic root of 3488040864 is about 1516.5632278098.

The spelling of 3488040864 in words is "three billion, four hundred eighty-eight million, forty thousand, eight hundred sixty-four".