3456027648 has 528 divisors, whose sum is σ = 11802510720. Its totient is φ = 1003290624.

The previous prime is 3456027613. The next prime is 3456027649. The reversal of 3456027648 is 8467206543.

3456027648 is a `hidden beast` number, since 3 + 4 + 560 + 27 + 64 + 8 = 666.

3456027648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3456027649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80372715 + ... + 80372757.

It is an arithmetic number, because the mean of its divisors is an integer number (22353240).

Almost surely, 2^3456027648 is an apocalyptic number.

3456027648 is a gapful number since it is divisible by the number (38) 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 3456027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901255360).

3456027648 is an abundant number, since it is smaller than the sum of its proper divisors (8346483072).

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

3456027648 is a wasteful number, since it uses less digits than its factorization.

3456027648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3456027648 is about 58787.9889773413. The cubic root of 3456027648 is about 1511.9092916105.

The spelling of 3456027648 in words is "three billion, four hundred fifty-six million, twenty-seven thousand, six hundred forty-eight".