3048653664 has 432 divisors, whose sum is σ = 10784067840. Its totient is φ = 799787520.

The previous prime is 3048653659. The next prime is 3048653693. The reversal of 3048653664 is 4663568403.

3048653664 is a `hidden beast` number, since 30 + 4 + 86 + 536 + 6 + 4 = 666.

3048653664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3048653664³ (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, 42938749 + ... + 42938819.

It is an arithmetic number, because the mean of its divisors is an integer number (24963120).

Almost surely, 2^3048653664 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 3048653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392033920).

3048653664 is an abundant number, since it is smaller than the sum of its proper divisors (7735414176).

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

3048653664 is a wasteful number, since it uses less digits than its factorization.

3048653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3048653664 is about 55214.6145870819. The cubic root of 3048653664 is about 1450.0045444170.

The spelling of 3048653664 in words is "three billion, forty-eight million, six hundred fifty-three thousand, six hundred sixty-four".