3008741561280 has 896 divisors, whose sum is σ = 13198606632960. Its totient is φ = 628251033600.

The previous prime is 3008741561251. The next prime is 3008741561281. The reversal of 3008741561280 is 821651478003.

3008741561280 is a `hidden beast` number, since 3 + 0 + 0 + 8 + 7 + 4 + 1 + 561 + 2 + 80 = 666.

3008741561280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3008741561280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3008741561281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76245555 + ... + 76285005.

It is an arithmetic number, because the mean of its divisors is an integer number (14730587760).

Almost surely, 2^{3008741561280} is an apocalyptic number.

3008741561280 is a gapful number since it is divisible by the number (30) 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 3008741561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599303316480).

3008741561280 is an abundant number, since it is smaller than the sum of its proper divisors (10189865071680).

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

3008741561280 is a wasteful number, since it uses less digits than its factorization.

3008741561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39594 (or 39578 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3008741561280 in words is "three trillion, eight billion, seven hundred forty-one million, five hundred sixty-one thousand, two hundred eighty".