3317110480 has 80 divisors (see below), whose sum is σ = 8049462480. Its totient is φ = 1269653504.

The previous prime is 3317110463. The next prime is 3317110481. The reversal of 3317110480 is 840117133.

3317110480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1528497216 + 1788613264 = 39096^2 + 42292^2 .

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

It is a super-2 number, since 2×3317110480² = 22006443873051660800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3317110481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255834 + ... + 268486.

It is an arithmetic number, because the mean of its divisors is an integer number (100618281).

Almost surely, 2^3317110480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3317110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024731240).

3317110480 is an abundant number, since it is smaller than the sum of its proper divisors (4732352000).

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

3317110480 is a wasteful number, since it uses less digits than its factorization.

3317110480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12808 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 3317110480 is about 57594.3615295803. The cubic root of 3317110480 is about 1491.3742677222.

The spelling of 3317110480 in words is "three billion, three hundred seventeen million, one hundred ten thousand, four hundred eighty".