3488506944 has 224 divisors, whose sum is σ = 10274052096. Its totient is φ = 1037936640.

The previous prime is 3488506937. The next prime is 3488506999. The reversal of 3488506944 is 4496058843.

3488506944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15367759 + ... + 15367985.

It is an arithmetic number, because the mean of its divisors is an integer number (45866304).

Almost surely, 2^3488506944 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 3488506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137026048).

3488506944 is an abundant number, since it is smaller than the sum of its proper divisors (6785545152).

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

3488506944 is a wasteful number, since it uses less digits than its factorization.

3488506944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The square root of 3488506944 is about 59063.5839075145. The cubic root of 3488506944 is about 1516.6307736840.

The spelling of 3488506944 in words is "three billion, four hundred eighty-eight million, five hundred six thousand, nine hundred forty-four".