3344791968 has 168 divisors, whose sum is σ = 11284062048. Its totient is φ = 955608192.

The previous prime is 3344791921. The next prime is 3344791969. The reversal of 3344791968 is 8691974433.

It is a happy number.

3344791968 is a `hidden beast` number, since 3 + 3 + 447 + 9 + 196 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3344791968² = 22375266618394626048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3344791969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 153055 + ... + 173537.

It is an arithmetic number, because the mean of its divisors is an integer number (67167036).

Almost surely, 2^3344791968 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 3344791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642031024).

3344791968 is an abundant number, since it is smaller than the sum of its proper divisors (7939270080).

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

3344791968 is an equidigital number, since it uses as much as digits as its factorization.

3344791968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20518 (or 20495 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3344791968 is about 57834.1764703190. The cubic root of 3344791968 is about 1495.5113172163.

The spelling of 3344791968 in words is "three billion, three hundred forty-four million, seven hundred ninety-one thousand, nine hundred sixty-eight".