3007376568 has 288 divisors, whose sum is σ = 10285198560. Its totient is φ = 788336640.

The previous prime is 3007376543. The next prime is 3007376573. The reversal of 3007376568 is 8656737003.

It is a super-3 number, since 3×3007376568³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2458405 + ... + 2459627.

It is an arithmetic number, because the mean of its divisors is an integer number (35712495).

Almost surely, 2^3007376568 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 3007376568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142599280).

3007376568 is an abundant number, since it is smaller than the sum of its proper divisors (7277821992).

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

3007376568 is a wasteful number, since it uses less digits than its factorization.

3007376568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3007376568 is about 54839.5529522260. The cubic root of 3007376568 is about 1443.4306974317.

The spelling of 3007376568 in words is "three billion, seven million, three hundred seventy-six thousand, five hundred sixty-eight".