3488458752 has 240 divisors, whose sum is σ = 11041610580. Its totient is φ = 1093533696.

The previous prime is 3488458741. The next prime is 3488458763. The reversal of 3488458752 is 2578548843.

3488458752 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 4 + 587 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3488458741) and next prime (3488458763).

It can be written as a sum of positive squares in 2 ways, for example, as 3218973696 + 269485056 = 56736^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2819478 + ... + 2820714.

Almost surely, 2^3488458752 is an apocalyptic number.

3488458752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3488458752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520805290).

3488458752 is an abundant number, since it is smaller than the sum of its proper divisors (7553151828).

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

3488458752 is a wasteful number, since it uses less digits than its factorization.

3488458752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1259 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The square root of 3488458752 is about 59063.1759389893. The cubic root of 3488458752 is about 1516.6237898169.

Subtracting from 3488458752 its reverse (2578548843), we obtain a palindrome (909909909).

It can be divided in two parts, 34884 and 58752, that added together give a square (93636 = 306²).

The spelling of 3488458752 in words is "three billion, four hundred eighty-eight million, four hundred fifty-eight thousand, seven hundred fifty-two".