3084813120 has 112 divisors (see below), whose sum is σ = 10022189760. Its totient is φ = 803475456.

The previous prime is 3084813101. The next prime is 3084813133. The reversal of 3084813120 is 213184803.

3084813120 is digitally balanced in base 2, because in such base 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3916 + ... + 78644.

Almost surely, 2^3084813120 is an apocalyptic number.

3084813120 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 3084813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011094880).

3084813120 is an abundant number, since it is smaller than the sum of its proper divisors (6937376640).

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

3084813120 is a wasteful number, since it uses less digits than its factorization.

3084813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74792 (or 74782 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3084813120 is about 55541.0939755421. The cubic root of 3084813120 is about 1455.7147631882.

Adding to 3084813120 its reverse (213184803), we get a palindrome (3297997923).

The spelling of 3084813120 in words is "three billion, eighty-four million, eight hundred thirteen thousand, one hundred twenty".