3310968960 has 640 divisors, whose sum is σ = 13529300400. Its totient is φ = 767066112.

The previous prime is 3310968923. The next prime is 3310968961. The reversal of 3310968960 is 698690133.

It can be written as a sum of positive squares in 8 ways, for example, as 962985024 + 2347983936 = 31032^2 + 48456^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3310968961) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 194762872 + ... + 194762888.

Almost surely, 2^3310968960 is an apocalyptic number.

3310968960 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 3310968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764650200).

3310968960 is an abundant number, since it is smaller than the sum of its proper divisors (10218331440).

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

3310968960 is an equidigital number, since it uses as much as digits as its factorization.

3310968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3310968960 is about 57541.0198032673. The cubic root of 3310968960 is about 1490.4532891088.

The spelling of 3310968960 in words is "three billion, three hundred ten million, nine hundred sixty-eight thousand, nine hundred sixty".