3081318240 has 768 divisors, whose sum is σ = 13387659264. Its totient is φ = 579870720.

The previous prime is 3081318113. The next prime is 3081318241. The reversal of 3081318240 is 428131803.

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

It is a junction number, because it is equal to n+sod(n) for n = 3081318198 and 3081318207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3081318241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58138054 + ... + 58138106.

It is an arithmetic number, because the mean of its divisors is an integer number (17431848).

Almost surely, 2^3081318240 is an apocalyptic number.

3081318240 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 3081318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693829632).

3081318240 is an abundant number, since it is smaller than the sum of its proper divisors (10306341024).

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

3081318240 is a wasteful number, since it uses less digits than its factorization.

3081318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

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

The square root of 3081318240 is about 55509.6229495391. The cubic root of 3081318240 is about 1455.1648140553.

The spelling of 3081318240 in words is "three billion, eighty-one million, three hundred eighteen thousand, two hundred forty".