3456768 has 72 divisors (see below), whose sum is σ = 10530688. Its totient is φ = 986112.

The previous prime is 3456767. The next prime is 3456781. The reversal of 3456768 is 8676543.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5055 + ... + 5697.

Almost surely, 2^3456768 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 3456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265344).

3456768 is an abundant number, since it is smaller than the sum of its proper divisors (7073920).

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

3456768 is an equidigital number, since it uses as much as digits as its factorization.

3456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 655 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 3456768 is about 1859.2385538171. The cubic root of 3456768 is about 151.2017244561.

It can be divided in two parts, 3456 and 768, that added together give a palindrome (4224).

The spelling of 3456768 in words is "three million, four hundred fifty-six thousand, seven hundred sixty-eight".