3135809664 has 384 divisors, whose sum is σ = 10475665200. Its totient is φ = 891813888.

The previous prime is 3135809657. The next prime is 3135809671. The reversal of 3135809664 is 4669085313.

3135809664 is a `hidden beast` number, since 3 + 1 + 3 + 580 + 9 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3135809657) and next prime (3135809671).

It can be written as a sum of positive squares in 8 ways, for example, as 755150400 + 2380659264 = 27480^2 + 48792^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27750472 + ... + 27750584.

Almost surely, 2^3135809664 is an apocalyptic number.

3135809664 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 3135809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237832600).

3135809664 is an abundant number, since it is smaller than the sum of its proper divisors (7339855536).

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

3135809664 is a wasteful number, since it uses less digits than its factorization.

3135809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3135809664 is about 55998.3005456416. The cubic root of 3135809664 is about 1463.6926704164.

The spelling of 3135809664 in words is "three billion, one hundred thirty-five million, eight hundred nine thousand, six hundred sixty-four".