3468640 has 96 divisors (see below), whose sum is σ = 9918720. Its totient is φ = 1119744.

The previous prime is 3468637. The next prime is 3468649. The reversal of 3468640 is 468643.

3468640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21199 + ... + 21361.

It is an arithmetic number, because the mean of its divisors is an integer number (103320).

Almost surely, 2^3468640 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 3468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959360).

3468640 is an abundant number, since it is smaller than the sum of its proper divisors (6450080).

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

3468640 is a wasteful number, since it uses less digits than its factorization.

3468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3468640 is about 1862.4285221184. The cubic root of 3468640 is about 151.3746235128.

The spelling of 3468640 in words is "three million, four hundred sixty-eight thousand, six hundred forty".