3488268828 has 192 divisors, whose sum is σ = 9828241920. Its totient is φ = 958397440.

The previous prime is 3488268827. The next prime is 3488268841. The reversal of 3488268828 is 8288628843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488268827) 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 63 ways as a sum of consecutive naturals, for example, 7873975 + ... + 7874417.

It is an arithmetic number, because the mean of its divisors is an integer number (51188760).

Almost surely, 2^3488268828 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 3488268828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914120960).

3488268828 is an abundant number, since it is smaller than the sum of its proper divisors (6339973092).

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

3488268828 is a wasteful number, since it uses less digits than its factorization.

3488268828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 505 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 57.

The square root of 3488268828 is about 59061.5681132833. The cubic root of 3488268828 is about 1516.5962658677.

The spelling of 3488268828 in words is "three billion, four hundred eighty-eight million, two hundred sixty-eight thousand, eight hundred twenty-eight".