3033985680 has 320 divisors, whose sum is σ = 11490336000. Its totient is φ = 729722880.

The previous prime is 3033985673. The next prime is 3033985741. The reversal of 3033985680 is 865893303.

3033985680 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3539812 + ... + 3540668.

It is an arithmetic number, because the mean of its divisors is an integer number (35907300).

Almost surely, 2^3033985680 is an apocalyptic number.

3033985680 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 3033985680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745168000).

3033985680 is an abundant number, since it is smaller than the sum of its proper divisors (8456350320).

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

3033985680 is a wasteful number, since it uses less digits than its factorization.

3033985680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3033985680 is about 55081.6274269379. The cubic root of 3033985680 is about 1447.6753364883.

The spelling of 3033985680 in words is "three billion, thirty-three million, nine hundred eighty-five thousand, six hundred eighty".