3086294880 has 96 divisors (see below), whose sum is σ = 9747410400. Its totient is φ = 820846592.

The previous prime is 3086294879. The next prime is 3086294891. The reversal of 3086294880 is 884926803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 178456 + ... + 194984.

It is an arithmetic number, because the mean of its divisors is an integer number (101535525).

Almost surely, 2^3086294880 is an apocalyptic number.

3086294880 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 3086294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873705200).

3086294880 is an abundant number, since it is smaller than the sum of its proper divisors (6661115520).

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

3086294880 is a wasteful number, since it uses less digits than its factorization.

3086294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16936 (or 16928 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 3086294880 is about 55554.4316864100. The cubic root of 3086294880 is about 1455.9478053584.

The spelling of 3086294880 in words is "three billion, eighty-six million, two hundred ninety-four thousand, eight hundred eighty".