3300512880 has 320 divisors, whose sum is σ = 12287784960. Its totient is φ = 716525568.

The previous prime is 3300512849. The next prime is 3300512899. The reversal of 3300512880 is 882150033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8848374 + ... + 8848746.

It is an arithmetic number, because the mean of its divisors is an integer number (38399328).

Almost surely, 2^3300512880 is an apocalyptic number.

3300512880 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 3300512880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143892480).

3300512880 is an abundant number, since it is smaller than the sum of its proper divisors (8987272080).

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

3300512880 is a wasteful number, since it uses less digits than its factorization.

3300512880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3300512880 is about 57450.0903393546. The cubic root of 3300512880 is about 1488.8826781091.

The spelling of 3300512880 in words is "three billion, three hundred million, five hundred twelve thousand, eight hundred eighty".