3305994960 has 80 divisors (see below), whose sum is σ = 10300233600. Its totient is φ = 877155840.

The previous prime is 3305994941. The next prime is 3305995013. The reversal of 3305994960 is 694995033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13150 + ... + 82370.

It is an arithmetic number, because the mean of its divisors is an integer number (128752920).

Almost surely, 2^3305994960 is an apocalyptic number.

3305994960 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 3305994960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150116800).

3305994960 is an abundant number, since it is smaller than the sum of its proper divisors (6994238640).

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

3305994960 is a wasteful number, since it uses less digits than its factorization.

3305994960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69436 (or 69430 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The square root of 3305994960 is about 57497.7822180995. The cubic root of 3305994960 is about 1489.7065560285.

The spelling of 3305994960 in words is "three billion, three hundred five million, nine hundred ninety-four thousand, nine hundred sixty".