3391344768 has 128 divisors (see below), whose sum is σ = 10374819840. Its totient is φ = 961459200.

The previous prime is 3391344743. The next prime is 3391344791. The reversal of 3391344768 is 8674431933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 347313 + ... + 356943.

It is an arithmetic number, because the mean of its divisors is an integer number (81053280).

Almost surely, 2^3391344768 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 3391344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187409920).

3391344768 is an abundant number, since it is smaller than the sum of its proper divisors (6983475072).

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

3391344768 is a wasteful number, since it uses less digits than its factorization.

3391344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 9774 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 3391344768 is about 58235.2536527489. The cubic root of 3391344768 is about 1502.4175486569.

The spelling of 3391344768 in words is "three billion, three hundred ninety-one million, three hundred forty-four thousand, seven hundred sixty-eight".