3086743680 has 256 divisors, whose sum is σ = 11086502400. Its totient is φ = 811524096.

The previous prime is 3086743663. The next prime is 3086743697. The reversal of 3086743680 is 863476803.

It is an interprime number because it is at equal distance from previous prime (3086743663) and next prime (3086743697).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260217 + ... + 1262663.

It is an arithmetic number, because the mean of its divisors is an integer number (43306650).

Almost surely, 2^3086743680 is an apocalyptic number.

3086743680 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 3086743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543251200).

3086743680 is an abundant number, since it is smaller than the sum of its proper divisors (7999758720).

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

3086743680 is a wasteful number, since it uses less digits than its factorization.

3086743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3086743680 is about 55558.4708212888. The cubic root of 3086743680 is about 1456.0183751656.

It can be divided in two parts, 30867 and 43680, that added together give a palindrome (74547).

The spelling of 3086743680 in words is "three billion, eighty-six million, seven hundred forty-three thousand, six hundred eighty".