3006534960 has 240 divisors, whose sum is σ = 11862553248. Its totient is φ = 672768000.

The previous prime is 3006534941. The next prime is 3006534967. The reversal of 3006534960 is 694356003.

3006534960 is a `hidden beast` number, since 30 + 0 + 6 + 534 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3006534967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88360 + ... + 117560.

Almost surely, 2^3006534960 is an apocalyptic number.

3006534960 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 3006534960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931276624).

3006534960 is an abundant number, since it is smaller than the sum of its proper divisors (8856018288).

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

3006534960 is a wasteful number, since it uses less digits than its factorization.

3006534960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29244 (or 29235 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3006534960 is about 54831.8790485973. The cubic root of 3006534960 is about 1443.2960378558.

It can be divided in two parts, 30065 and 34960, that added together give a square (65025 = 255²).

The spelling of 3006534960 in words is "three billion, six million, five hundred thirty-four thousand, nine hundred sixty".