3364341344 has 96 divisors (see below), whose sum is σ = 8631717696. Its totient is φ = 1252638720.

The previous prime is 3364341341. The next prime is 3364341373. The reversal of 3364341344 is 4431434633.

It is a super-2 number, since 2×3364341344² = 22637585357895452672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364341341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15524 + ... + 83484.

It is an arithmetic number, because the mean of its divisors is an integer number (89913726).

Almost surely, 2^3364341344 is an apocalyptic number.

3364341344 is a gapful number since it is divisible by the number (34) 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 3364341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315858848).

3364341344 is an abundant number, since it is smaller than the sum of its proper divisors (5267376352).

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

3364341344 is a wasteful number, since it uses less digits than its factorization.

3364341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68008 (or 68000 counting only the distinct ones).

The product of its digits is 124416, while the sum is 35.

The square root of 3364341344 is about 58002.9425460467. The cubic root of 3364341344 is about 1498.4192746419.

Adding to 3364341344 its reverse (4431434633), we get a palindrome (7795775977).

The spelling of 3364341344 in words is "three billion, three hundred sixty-four million, three hundred forty-one thousand, three hundred forty-four".