3400340768 has 48 divisors (see below), whose sum is σ = 7330357440. Its totient is φ = 1539820800.

The previous prime is 3400340767. The next prime is 3400340809. The reversal of 3400340768 is 8670430043.

It is not an unprimeable number, because it can be changed into a prime (3400340767) 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 7 ways as a sum of consecutive naturals, for example, 76733 + ... + 112643.

It is an arithmetic number, because the mean of its divisors is an integer number (152715780).

Almost surely, 2^3400340768 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 3400340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665178720).

3400340768 is an abundant number, since it is smaller than the sum of its proper divisors (3930016672).

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

3400340768 is a wasteful number, since it uses less digits than its factorization.

3400340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36201 (or 36193 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 3400340768 is about 58312.4409367332. The cubic root of 3400340768 is about 1503.7448308993.

The spelling of 3400340768 in words is "three billion, four hundred million, three hundred forty thousand, seven hundred sixty-eight".