3113081664 has 448 divisors, whose sum is σ = 10814791680. Its totient is φ = 767047680.

The previous prime is 3113081651. The next prime is 3113081677. The reversal of 3113081664 is 4661803113.

3113081664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3113081651) and next prime (3113081677).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37506967 + ... + 37507049.

It is an arithmetic number, because the mean of its divisors is an integer number (24140160).

Almost surely, 2^3113081664 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 3113081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407395840).

3113081664 is an abundant number, since it is smaller than the sum of its proper divisors (7701710016).

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

3113081664 is a wasteful number, since it uses less digits than its factorization.

3113081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3113081664 is about 55794.9967649430. The cubic root of 3113081664 is about 1460.1478651767.

Adding to 3113081664 its reverse (4661803113), we get a palindrome (7774884777).

The spelling of 3113081664 in words is "three billion, one hundred thirteen million, eighty-one thousand, six hundred sixty-four".