3468320 has 48 divisors (see below), whose sum is σ = 8368920. Its totient is φ = 1357824.

The previous prime is 3468307. The next prime is 3468329. The reversal of 3468320 is 238643.

It can be written as a sum of positive squares in 4 ways, for example, as 3429904 + 38416 = 1852^2 + 196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3468320.

It is not an unprimeable number, because it can be changed into a prime (3468329) 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, 8276 + ... + 8684.

Almost surely, 2^3468320 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 3468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184460).

3468320 is an abundant number, since it is smaller than the sum of its proper divisors (4900600).

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

3468320 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3468319) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (477).

3468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3468320 is about 1862.3426107996. The cubic root of 3468320 is about 151.3699683387.

The spelling of 3468320 in words is "three million, four hundred sixty-eight thousand, three hundred twenty".