3421680 has 80 divisors (see below), whose sum is σ = 10847520. Its totient is φ = 891904.

The previous prime is 3421679. The next prime is 3421699. The reversal of 3421680 is 861243.

It is a happy number.

3421680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3421680.

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 15 ways as a sum of consecutive naturals, for example, 12586 + ... + 12854.

It is an arithmetic number, because the mean of its divisors is an integer number (135594).

Almost surely, 2^3421680 is an apocalyptic number.

3421680 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 3421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423760).

3421680 is an abundant number, since it is smaller than the sum of its proper divisors (7425840).

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

3421680 is a wasteful number, since it uses less digits than its factorization.

3421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3421680 is about 1849.7783651022. The cubic root of 3421680 is about 150.6883915036.

The spelling of 3421680 in words is "three million, four hundred twenty-one thousand, six hundred eighty".