3424896 has 64 divisors (see below), whose sum is σ = 10118400. Its totient is φ = 1140480.

The previous prime is 3424879. The next prime is 3424901. The reversal of 3424896 is 6984243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3424896² = 23459825221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3424896.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2961 + ... + 3951.

It is an arithmetic number, because the mean of its divisors is an integer number (158100).

Almost surely, 2^3424896 is an apocalyptic number.

3424896 is a gapful number since it is divisible by the number (36) 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 3424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059200).

3424896 is an abundant number, since it is smaller than the sum of its proper divisors (6693504).

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

3424896 is an equidigital number, since it uses as much as digits as its factorization.

3424896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 996 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3424896 is about 1850.6474542711. The cubic root of 3424896 is about 150.7355868500.

The spelling of 3424896 in words is "three million, four hundred twenty-four thousand, eight hundred ninety-six".