6003858240 has 224 divisors, whose sum is σ = 21244560000. Its totient is φ = 1596174336.

The previous prime is 6003858239. The next prime is 6003858253. The reversal of 6003858240 is 428583006.

6003858240 is a `hidden beast` number, since 6 + 0 + 0 + 38 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6003858195 and 6003858204.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3532911 + ... + 3534609.

Almost surely, 2^6003858240 is an apocalyptic number.

6003858240 is a gapful number since it is divisible by the number (60) 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 6003858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622280000).

6003858240 is an abundant number, since it is smaller than the sum of its proper divisors (15240701760).

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

6003858240 is a wasteful number, since it uses less digits than its factorization.

6003858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6003858240 is about 77484.5677538437. The cubic root of 6003858240 is about 1817.5100031173.

The spelling of 6003858240 in words is "six billion, three million, eight hundred fifty-eight thousand, two hundred forty".