3468564 has 72 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 993600.

The previous prime is 3468557. The next prime is 3468581. The reversal of 3468564 is 4658643.

3468564 is a `hidden beast` number, since 34 + 68 + 564 = 666.

3468564 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 an Ulam number.

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 23 ways as a sum of consecutive naturals, for example, 7294 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (140140).

Almost surely, 2^3468564 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 3468564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045040).

3468564 is an abundant number, since it is smaller than the sum of its proper divisors (6621516).

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

3468564 is a wasteful number, since it uses less digits than its factorization.

3468564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 496 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3468564 is about 1862.4081185390. The cubic root of 3468564 is about 151.3735179349.

The spelling of 3468564 in words is "three million, four hundred sixty-eight thousand, five hundred sixty-four".