3272638464 has 224 divisors, whose sum is σ = 9884906190. Its totient is φ = 1082916864.

The previous prime is 3272638441. The next prime is 3272638511. The reversal of 3272638464 is 4648362723.

3272638464 is a `hidden beast` number, since 3 + 2 + 7 + 2 + 638 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2687385600 + 585252864 = 51840^2 + 24192^2 .

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23887804 + ... + 23887940.

Almost surely, 2^3272638464 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 3272638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942453095).

3272638464 is an abundant number, since it is smaller than the sum of its proper divisors (6612267726).

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

3272638464 is an frugal number, since it uses more digits than its factorization.

3272638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 142 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3272638464 is about 57206.9791546451. The cubic root of 3272638464 is about 1484.6793798170.

The spelling of 3272638464 in words is "three billion, two hundred seventy-two million, six hundred thirty-eight thousand, four hundred sixty-four".