3406320 has 160 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 850176.

The previous prime is 3406309. The next prime is 3406343. The reversal of 3406320 is 236043.

3406320 is a `hidden beast` number, since 34 + 0 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3406293 and 3406302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40999 + ... + 41081.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^3406320 is an apocalyptic number.

3406320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3406320 is an abundant number, since it is smaller than the sum of its proper divisors (9092880).

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

3406320 is a wasteful number, since it uses less digits than its factorization.

3406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3406320 is about 1845.6218464247. The cubic root of 3406320 is about 150.4625720477.

The spelling of 3406320 in words is "three million, four hundred six thousand, three hundred twenty".