3260781216 has 576 divisors, whose sum is σ = 12454041600. Its totient is φ = 783820800.

The previous prime is 3260781193. The next prime is 3260781217. The reversal of 3260781216 is 6121870623.

3260781216 is a `hidden beast` number, since 32 + 607 + 8 + 1 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3260781217) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 29915370 + ... + 29915478.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 2^3260781216 is an apocalyptic number.

3260781216 is a gapful number since it is divisible by the number (36) 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 3260781216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227020800).

3260781216 is an abundant number, since it is smaller than the sum of its proper divisors (9193260384).

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

3260781216 is a wasteful number, since it uses less digits than its factorization.

3260781216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3260781216 is about 57103.2504854146. The cubic root of 3260781216 is about 1482.8841397197.

The spelling of 3260781216 in words is "three billion, two hundred sixty million, seven hundred eighty-one thousand, two hundred sixteen".