3074145220608 has 576 divisors, whose sum is σ = 10325094474240. Its totient is φ = 796182773760.

The previous prime is 3074145220607. The next prime is 3074145220613. The reversal of 3074145220608 is 8060225414703.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3074145220608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074145220607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2534331810 + ... + 2534333022.

It is an arithmetic number, because the mean of its divisors is an integer number (17925511240).

Almost surely, 2^{3074145220608} 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 3074145220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162547237120).

3074145220608 is an abundant number, since it is smaller than the sum of its proper divisors (7250949253632).

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

3074145220608 is a wasteful number, since it uses less digits than its factorization.

3074145220608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 3074145220608 in words is "three trillion, seventy-four billion, one hundred forty-five million, two hundred twenty thousand, six hundred eight".