3305246040 has 256 divisors, whose sum is σ = 11446272000. Its totient is φ = 847480320.

The previous prime is 3305246017. The next prime is 3305246053. The reversal of 3305246040 is 406425033.

3305246040 is a `hidden beast` number, since 3 + 3 + 0 + 52 + 4 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3305245995 and 3305246013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9005937 + ... + 9006303.

It is an arithmetic number, because the mean of its divisors is an integer number (44712000).

Almost surely, 2^3305246040 is an apocalyptic number.

3305246040 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 3305246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723136000).

3305246040 is an abundant number, since it is smaller than the sum of its proper divisors (8141025960).

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

3305246040 is a wasteful number, since it uses less digits than its factorization.

3305246040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3305246040 is about 57491.2692502088. The cubic root of 3305246040 is about 1489.5940578442.

The spelling of 3305246040 in words is "three billion, three hundred five million, two hundred forty-six thousand, forty".