3185664768 has 432 divisors, whose sum is σ = 11189428320. Its totient is φ = 888053760.

The previous prime is 3185664763. The next prime is 3185664791. The reversal of 3185664768 is 8674665813.

3185664768 is a `hidden beast` number, since 3 + 1 + 8 + 566 + 4 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3185664763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10872430 + ... + 10872722.

Almost surely, 2^3185664768 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 3185664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594714160).

3185664768 is an abundant number, since it is smaller than the sum of its proper divisors (8003763552).

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

3185664768 is a wasteful number, since it uses less digits than its factorization.

3185664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 322 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3185664768 is about 56441.6935252655. The cubic root of 3185664768 is about 1471.4088284582.

The spelling of 3185664768 in words is "three billion, one hundred eighty-five million, six hundred sixty-four thousand, seven hundred sixty-eight".