3558048768 has 264 divisors, whose sum is σ = 10848772480. Its totient is φ = 1164533760.

The previous prime is 3558048761. The next prime is 3558048817. The reversal of 3558048768 is 8678408553.

3558048768 is a `hidden beast` number, since 3 + 558 + 0 + 4 + 87 + 6 + 8 = 666.

It is a super-2 number, since 2×3558048768² = 25319422070932635648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3558048761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19657638 + ... + 19657818.

Almost surely, 2^3558048768 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 3558048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424386240).

3558048768 is an abundant number, since it is smaller than the sum of its proper divisors (7290723712).

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

3558048768 is an equidigital number, since it uses as much as digits as its factorization.

3558048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 3558048768 is about 59649.3819582399. The cubic root of 3558048768 is about 1526.6423253579.

It can be divided in two parts, 35580 and 48768, that added together give a palindrome (84348).

The spelling of 3558048768 in words is "three billion, five hundred fifty-eight million, forty-eight thousand, seven hundred sixty-eight".