3205680000 has 480 divisors, whose sum is σ = 11533464360. Its totient is φ = 787968000.

The previous prime is 3205679989. The next prime is 3205680007. The reversal of 3205680000 is 865023.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205680007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 86639982 + ... + 86640018.

Almost surely, 2^3205680000 is an apocalyptic number.

3205680000 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 3205680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766732180).

3205680000 is an abundant number, since it is smaller than the sum of its proper divisors (8327784360).

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

3205680000 is an equidigital number, since it uses as much as digits as its factorization.

3205680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3205680000 is about 56618.7248178551. The cubic root of 3205680000 is about 1474.4839715522.

The spelling of 3205680000 in words is "three billion, two hundred five million, six hundred eighty thousand".