3421824 has 128 divisors (see below), whose sum is σ = 11097600. Its totient is φ = 912384.

The previous prime is 3421813. The next prime is 3421853. The reversal of 3421824 is 4281243.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3421794 and 3421803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51039 + ... + 51105.

It is an arithmetic number, because the mean of its divisors is an integer number (86700).

Almost surely, 2^3421824 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 3421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548800).

3421824 is an abundant number, since it is smaller than the sum of its proper divisors (7675776).

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

3421824 is a wasteful number, since it uses less digits than its factorization.

3421824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3421824 is about 1849.8172882747. The cubic root of 3421824 is about 150.6905053604.

The spelling of 3421824 in words is "three million, four hundred twenty-one thousand, eight hundred twenty-four".