3305564460 has 144 divisors (see below), whose sum is σ = 11234295072. Its totient is φ = 779673600.

The previous prime is 3305564459. The next prime is 3305564513. The reversal of 3305564460 is 644655033.

3305564460 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 5 + 644 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50700 + ... + 95820.

It is an arithmetic number, because the mean of its divisors is an integer number (78015938).

Almost surely, 2^3305564460 is an apocalyptic number.

3305564460 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 3305564460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617147536).

3305564460 is an abundant number, since it is smaller than the sum of its proper divisors (7928730612).

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

3305564460 is a wasteful number, since it uses less digits than its factorization.

3305564460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45184 (or 45179 counting only the distinct ones).

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

The square root of 3305564460 is about 57494.0384735670. The cubic root of 3305564460 is about 1489.6418910265.

It can be divided in two parts, 3305 and 564460, that added together give a palindrome (567765).

The spelling of 3305564460 in words is "three billion, three hundred five million, five hundred sixty-four thousand, four hundred sixty".