3305305440 has 288 divisors, whose sum is σ = 11795486976. Its totient is φ = 874022400.

The previous prime is 3305305433. The next prime is 3305305463. The reversal of 3305305440 is 445035033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5870599 + ... + 5871161.

It is an arithmetic number, because the mean of its divisors is an integer number (40956552).

Almost surely, 2^3305305440 is an apocalyptic number.

3305305440 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 3305305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897743488).

3305305440 is an abundant number, since it is smaller than the sum of its proper divisors (8490181536).

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

3305305440 is a wasteful number, since it uses less digits than its factorization.

3305305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3305305440 is about 57491.7858480670. The cubic root of 3305305440 is about 1489.6029811695.

The spelling of 3305305440 in words is "three billion, three hundred five million, three hundred five thousand, four hundred forty".