3086936064 has 144 divisors (see below), whose sum is σ = 8959450500. Its totient is φ = 1023934464.

The previous prime is 3086936057. The next prime is 3086936071. The reversal of 3086936064 is 4606396803.

3086936064 is a `hidden beast` number, since 30 + 8 + 6 + 9 + 3 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3086936057) and next prime (3086936071).

It can be written as a sum of positive squares in 2 ways, for example, as 3068273664 + 18662400 = 55392^2 + 4320^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6874912 + ... + 6875360.

Almost surely, 2^3086936064 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 3086936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479725250).

3086936064 is an abundant number, since it is smaller than the sum of its proper divisors (5872514436).

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

3086936064 is a wasteful number, since it uses less digits than its factorization.

3086936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3086936064 is about 55560.2021594594. The cubic root of 3086936064 is about 1456.0486237435.

The spelling of 3086936064 in words is "three billion, eighty-six million, nine hundred thirty-six thousand, sixty-four".