3313090560 has 480 divisors, whose sum is σ = 12286838592. Its totient is φ = 754974720.

The previous prime is 3313090549. The next prime is 3313090589. The reversal of 3313090560 is 650903133.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3313090560² = 21953138117522227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 54312930 + ... + 54312990.

Almost surely, 2^3313090560 is an apocalyptic number.

3313090560 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 3313090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143419296).

3313090560 is an abundant number, since it is smaller than the sum of its proper divisors (8973748032).

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

3313090560 is a wasteful number, since it uses less digits than its factorization.

3313090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 3313090560 is about 57559.4523948934. The cubic root of 3313090560 is about 1490.7715716181.

Adding to 3313090560 its reverse (650903133), we get a palindrome (3963993693).

The spelling of 3313090560 in words is "three billion, three hundred thirteen million, ninety thousand, five hundred sixty".