3205786560 has 224 divisors, whose sum is σ = 11070457920. Its totient is φ = 782696448.

The previous prime is 3205786559. The next prime is 3205786589. The reversal of 3205786560 is 656875023.

3205786560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601186 + ... + 606494.

Almost surely, 2^3205786560 is an apocalyptic number.

3205786560 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 3205786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535228960).

3205786560 is an abundant number, since it is smaller than the sum of its proper divisors (7864671360).

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

3205786560 is a wasteful number, since it uses less digits than its factorization.

3205786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 3205786560 is about 56619.6658414724. The cubic root of 3205786560 is about 1474.5003091437.

The spelling of 3205786560 in words is "three billion, two hundred five million, seven hundred eighty-six thousand, five hundred sixty".