3462768 has 60 divisors (see below), whose sum is σ = 9817080. Its totient is φ = 1139328.

The previous prime is 3462751. The next prime is 3462773. The reversal of 3462768 is 8672643.

3462768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 19930 + ... + 20102.

It is an arithmetic number, because the mean of its divisors is an integer number (163618).

Almost surely, 2^3462768 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 3462768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908540).

3462768 is an abundant number, since it is smaller than the sum of its proper divisors (6354312).

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

3462768 is a wasteful number, since it uses less digits than its factorization.

3462768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3462768 is about 1860.8514180342. The cubic root of 3462768 is about 151.2891554478.

The spelling of 3462768 in words is "three million, four hundred sixty-two thousand, seven hundred sixty-eight".