3075003360 has 576 divisors, whose sum is σ = 12531879360. Its totient is φ = 676823040.

The previous prime is 3075003353. The next prime is 3075003361. The reversal of 3075003360 is 633005703.

3075003360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3075003360² = 18911291328022579200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3075003361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22445212 + ... + 22445348.

It is an arithmetic number, because the mean of its divisors is an integer number (21756735).

Almost surely, 2^3075003360 is an apocalyptic number.

3075003360 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 3075003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265939680).

3075003360 is an abundant number, since it is smaller than the sum of its proper divisors (9456876000).

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

3075003360 is a wasteful number, since it uses less digits than its factorization.

3075003360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

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

The square root of 3075003360 is about 55452.7128281385. The cubic root of 3075003360 is about 1454.1700584463.

The spelling of 3075003360 in words is "three billion, seventy-five million, three thousand, three hundred sixty".