3305720340 has 288 divisors, whose sum is σ = 11251968000. Its totient is φ = 780088320.

The previous prime is 3305720291. The next prime is 3305720387. The reversal of 3305720340 is 430275033.

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 95 ways as a sum of consecutive naturals, for example, 14435346 + ... + 14435574.

Almost surely, 2^3305720340 is an apocalyptic number.

3305720340 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 3305720340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625984000).

3305720340 is an abundant number, since it is smaller than the sum of its proper divisors (7946247660).

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

3305720340 is a wasteful number, since it uses less digits than its factorization.

3305720340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 3305720340 is about 57495.3940763954. The cubic root of 3305720340 is about 1489.6653062638.

Adding to 3305720340 its reverse (430275033), we get a palindrome (3735995373).

The spelling of 3305720340 in words is "three billion, three hundred five million, seven hundred twenty thousand, three hundred forty".