3078506331648 has 1440 divisors, whose sum is σ = 11210982951168. Its totient is φ = 838225428480.

The previous prime is 3078506331647. The next prime is 3078506331713. The reversal of 3078506331648 is 8461336058703.

3078506331648 is a `hidden beast` number, since 3 + 0 + 78 + 506 + 3 + 3 + 1 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3078506331594 and 3078506331603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3078506331643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5886245115 + ... + 5886245637.

Almost surely, 2^{3078506331648} 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 3078506331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605491475584).

3078506331648 is an abundant number, since it is smaller than the sum of its proper divisors (8132476619520).

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

3078506331648 is a wasteful number, since it uses less digits than its factorization.

3078506331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3078506331648 in words is "three trillion, seventy-eight billion, five hundred six million, three hundred thirty-one thousand, six hundred forty-eight".