3883066560 has 224 divisors, whose sum is σ = 14504944320. Its totient is φ = 974536704.

The previous prime is 3883066559. The next prime is 3883066567. The reversal of 3883066560 is 656603883.

3883066560 is a `hidden beast` number, since 3 + 8 + 83 + 0 + 6 + 6 + 560 = 666.

3883066560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3883066567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133662 + ... + 160098.

Almost surely, 2^3883066560 is an apocalyptic number.

3883066560 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 3883066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252472160).

3883066560 is an abundant number, since it is smaller than the sum of its proper divisors (10621877760).

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

3883066560 is a wasteful number, since it uses less digits than its factorization.

3883066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26480 (or 26464 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3883066560 is about 62314.2564747426. The cubic root of 3883066560 is about 1571.7794690930.

The spelling of 3883066560 in words is "three billion, eight hundred eighty-three million, sixty-six thousand, five hundred sixty".