3185136864 has 384 divisors, whose sum is σ = 12111482880. Its totient is φ = 790290432.

The previous prime is 3185136817. The next prime is 3185136883. The reversal of 3185136864 is 4686315813.

3185136864 is a `hidden beast` number, since 3 + 18 + 513 + 68 + 64 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1335417 + ... + 1337799.

It is an arithmetic number, because the mean of its divisors is an integer number (31540320).

Almost surely, 2^3185136864 is an apocalyptic number.

3185136864 is a gapful number since it is divisible by the number (34) 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 3185136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055741440).

3185136864 is an abundant number, since it is smaller than the sum of its proper divisors (8926346016).

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

3185136864 is a wasteful number, since it uses less digits than its factorization.

3185136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2425 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3185136864 is about 56437.0167886291. The cubic root of 3185136864 is about 1471.3275470959.

The spelling of 3185136864 in words is "three billion, one hundred eighty-five million, one hundred thirty-six thousand, eight hundred sixty-four".