3000533760 has 576 divisors, whose sum is σ = 12401356800. Its totient is φ = 672841728.

The previous prime is 3000533743. The next prime is 3000533771. The reversal of 3000533760 is 673350003.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19111602 + ... + 19111758.

Almost surely, 2^3000533760 is an apocalyptic number.

3000533760 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 3000533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200678400).

3000533760 is an abundant number, since it is smaller than the sum of its proper divisors (9400823040).

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

3000533760 is a wasteful number, since it uses less digits than its factorization.

3000533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 3000533760 is about 54777.1280736769. The cubic root of 3000533760 is about 1442.3351002496.

Adding to 3000533760 its reverse (673350003), we get a palindrome (3673883763).

The spelling of 3000533760 in words is "three billion, five hundred thirty-three thousand, seven hundred sixty".