3344769792 has 648 divisors, whose sum is σ = 12595446864. Its totient is φ = 845365248.

The previous prime is 3344769763. The next prime is 3344769793. The reversal of 3344769792 is 2979674433.

It is a super-2 number, since 2×3344769792² = 22374969922951446528, which contains 22 as substring.

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 (3344769793) 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 71 ways as a sum of consecutive naturals, for example, 63108838 + ... + 63108890.

It is an arithmetic number, because the mean of its divisors is an integer number (19437418).

Almost surely, 2^3344769792 is an apocalyptic number.

3344769792 is a gapful number since it is divisible by the number (32) 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 3344769792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297723432).

3344769792 is an abundant number, since it is smaller than the sum of its proper divisors (9250677072).

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

3344769792 is a wasteful number, since it uses less digits than its factorization.

3344769792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 3344769792 is about 57833.9847494533. The cubic root of 3344769792 is about 1495.5080121246.

The spelling of 3344769792 in words is "three billion, three hundred forty-four million, seven hundred sixty-nine thousand, seven hundred ninety-two".