3205365264 has 80 divisors (see below), whose sum is σ = 9235123200. Its totient is φ = 1064444544.

The previous prime is 3205365193. The next prime is 3205365269. The reversal of 3205365264 is 4625635023.

3205365264 is a `hidden beast` number, since 32 + 0 + 5 + 365 + 264 = 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 (3205365269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102417 + ... + 129999.

It is an arithmetic number, because the mean of its divisors is an integer number (115439040).

Almost surely, 2^3205365264 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 3205365264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617561600).

3205365264 is an abundant number, since it is smaller than the sum of its proper divisors (6029757936).

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

3205365264 is a wasteful number, since it uses less digits than its factorization.

3205365264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27869 (or 27857 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3205365264 is about 56615.9453157854. The cubic root of 3205365264 is about 1474.4357146690.

The spelling of 3205365264 in words is "three billion, two hundred five million, three hundred sixty-five thousand, two hundred sixty-four".