3086766144 has 840 divisors, whose sum is σ = 12426370880. Its totient is φ = 739031040.

The previous prime is 3086766127. The next prime is 3086766149. The reversal of 3086766144 is 4416676803.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3086766144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086766149) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83426094 + ... + 83426130.

Almost surely, 2^3086766144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3086766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213185440).

3086766144 is an abundant number, since it is smaller than the sum of its proper divisors (9339604736).

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

3086766144 is a wasteful number, since it uses less digits than its factorization.

3086766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

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

The square root of 3086766144 is about 55558.6729863124. The cubic root of 3086766144 is about 1456.0219072500.

The spelling of 3086766144 in words is "three billion, eighty-six million, seven hundred sixty-six thousand, one hundred forty-four".