3414336768 has 54 divisors (see below), whose sum is σ = 9844381274. Its totient is φ = 1138111488.

The previous prime is 3414336767. The next prime is 3414336781. The reversal of 3414336768 is 8676334143.

It can be written as a sum of positive squares in only one way, i.e., 2392383744 + 1021953024 = 48912^2 + 31968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414336767) 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 5 ways as a sum of consecutive naturals, for example, 738655 + ... + 743262.

Almost surely, 2^3414336768 is an apocalyptic number.

It is an amenable number.

3414336768 is an abundant number, since it is smaller than the sum of its proper divisors (6430044506).

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

3414336768 is a wasteful number, since it uses less digits than its factorization.

3414336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481939 (or 1481922 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3414336768 is about 58432.3263955835. The cubic root of 3414336768 is about 1505.8051736563.

It can be divided in two parts, 3414336 and 768, that added together give a square (3415104 = 1848²).

The spelling of 3414336768 in words is "three billion, four hundred fourteen million, three hundred thirty-six thousand, seven hundred sixty-eight".