3086648640 has 448 divisors, whose sum is σ = 11470233600. Its totient is φ = 780337152.

The previous prime is 3086648623. The next prime is 3086648651. The reversal of 3086648640 is 468466803.

3086648640 is digitally balanced in base 2 and base 4, because in such bases 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24304257 + ... + 24304383.

It is an arithmetic number, because the mean of its divisors is an integer number (25603200).

Almost surely, 2^3086648640 is an apocalyptic number.

3086648640 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 3086648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735116800).

3086648640 is an abundant number, since it is smaller than the sum of its proper divisors (8383584960).

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

3086648640 is a wasteful number, since it uses less digits than its factorization.

3086648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3086648640 is about 55557.6154995875. The cubic root of 3086648640 is about 1456.0034315420.

The spelling of 3086648640 in words is "three billion, eighty-six million, six hundred forty-eight thousand, six hundred forty".