3488841728 has 64 divisors (see below), whose sum is σ = 7389202320. Its totient is φ = 1641545728.

The previous prime is 3488841709. The next prime is 3488841737. The reversal of 3488841728 is 8271488843.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3488841728.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 553925 + ... + 560187.

Almost surely, 2^3488841728 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 3488841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694601160).

3488841728 is an abundant number, since it is smaller than the sum of its proper divisors (3900360592).

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

3488841728 is an frugal number, since it uses more digits than its factorization.

3488841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6282 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 53.

The square root of 3488841728 is about 59066.4179377758. The cubic root of 3488841728 is about 1516.6792879895.

The spelling of 3488841728 in words is "three billion, four hundred eighty-eight million, eight hundred forty-one thousand, seven hundred twenty-eight".