3412000768 has 68 divisors (see below), whose sum is σ = 7445881368. Its totient is φ = 1550581760.

The previous prime is 3412000741. The next prime is 3412000777. The reversal of 3412000768 is 8670002143.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 718530 + ... + 723262.

Almost surely, 2^3412000768 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 3412000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722940684).

3412000768 is an abundant number, since it is smaller than the sum of its proper divisors (4033880600).

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

3412000768 is an frugal number, since it uses more digits than its factorization.

3412000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 3412000768 is about 58412.3340399954. The cubic root of 3412000768 is about 1505.4616844579.

The spelling of 3412000768 in words is "three billion, four hundred twelve million, seven hundred sixty-eight", and thus it is an aban number.