3003466752 has 528 divisors, whose sum is σ = 10622259648. Its totient is φ = 805109760.

The previous prime is 3003466729. The next prime is 3003466757. The reversal of 3003466752 is 2576643003.

3003466752 is a `hidden beast` number, since 300 + 346 + 6 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 (3003466757) 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, 56669158 + ... + 56669210.

It is an arithmetic number, because the mean of its divisors is an integer number (20117916).

Almost surely, 2^3003466752 is an apocalyptic number.

3003466752 is a gapful number since it is divisible by the number (32) 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 3003466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311129824).

3003466752 is an abundant number, since it is smaller than the sum of its proper divisors (7618792896).

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

3003466752 is a wasteful number, since it uses less digits than its factorization.

3003466752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3003466752 is about 54803.8935843066. The cubic root of 3003466752 is about 1442.8049032935.

The spelling of 3003466752 in words is "three billion, three million, four hundred sixty-six thousand, seven hundred fifty-two".