3084975360 has 216 divisors, whose sum is σ = 10722918024. Its totient is φ = 818872320.

The previous prime is 3084975317. The next prime is 3084975367. The reversal of 3084975360 is 635794803.

3084975360 is a `hidden beast` number, since 30 + 84 + 9 + 7 + 536 + 0 = 666.

3084975360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 2682411264 = 20064^2 + 51792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084975367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236644 + ... + 3237596.

It is an arithmetic number, because the mean of its divisors is an integer number (49643139).

Almost surely, 2^3084975360 is an apocalyptic number.

3084975360 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 3084975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361459012).

3084975360 is an abundant number, since it is smaller than the sum of its proper divisors (7637942664).

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

3084975360 is a wasteful number, since it uses less digits than its factorization.

3084975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3084975360 is about 55542.5544965300. The cubic root of 3084975360 is about 1455.7402829430.

The spelling of 3084975360 in words is "three billion, eighty-four million, nine hundred seventy-five thousand, three hundred sixty".