3461568 has 84 divisors (see below), whose sum is σ = 10134600. Its totient is φ = 1041920.

The previous prime is 3461561. The next prime is 3461581. The reversal of 3461568 is 8651643.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23158 + ... + 23306.

It is an arithmetic number, because the mean of its divisors is an integer number (120650).

Almost surely, 2^3461568 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 3461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067300).

3461568 is an abundant number, since it is smaller than the sum of its proper divisors (6673032).

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

3461568 is a wasteful number, since it uses less digits than its factorization.

3461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 3461568 is about 1860.5289570442. The cubic root of 3461568 is about 151.2716773338.

The spelling of 3461568 in words is "three million, four hundred sixty-one thousand, five hundred sixty-eight".