3265591680 has 256 divisors, whose sum is σ = 12456158400. Its totient is φ = 803782656.

The previous prime is 3265591663. The next prime is 3265591687. The reversal of 3265591680 is 861955623.

3265591680 is a `hidden beast` number, since 3 + 2 + 6 + 559 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3265591687) 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 31 ways as a sum of consecutive naturals, for example, 217372 + ... + 231908.

Almost surely, 2^3265591680 is an apocalyptic number.

3265591680 is a gapful number since it is divisible by the number (30) 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 3265591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228079200).

3265591680 is an abundant number, since it is smaller than the sum of its proper divisors (9190566720).

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

3265591680 is a wasteful number, since it uses less digits than its factorization.

3265591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14578 (or 14560 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3265591680 is about 57145.3557168034. The cubic root of 3265591680 is about 1483.6129891725.

The spelling of 3265591680 in words is "three billion, two hundred sixty-five million, five hundred ninety-one thousand, six hundred eighty".