3308788560 has 480 divisors, whose sum is σ = 13232653056. Its totient is φ = 669081600.

The previous prime is 3308788559. The next prime is 3308788621. The reversal of 3308788560 is 658878033.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8334282 + ... + 8334678.

Almost surely, 2^3308788560 is an apocalyptic number.

3308788560 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 3308788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616326528).

3308788560 is an abundant number, since it is smaller than the sum of its proper divisors (9923864496).

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

3308788560 is a wasteful number, since it uses less digits than its factorization.

3308788560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3308788560 is about 57522.0701991853. The cubic root of 3308788560 is about 1490.1260437192.

The spelling of 3308788560 in words is "three billion, three hundred eight million, seven hundred eighty-eight thousand, five hundred sixty".