3504096 has 72 divisors (see below), whose sum is σ = 10417680. Its totient is φ = 1117248.

The previous prime is 3504089. The next prime is 3504101. The reversal of 3504096 is 6904053.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152341 + ... + 152363.

It is an arithmetic number, because the mean of its divisors is an integer number (144690).

Almost surely, 2^3504096 is an apocalyptic number.

3504096 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 3504096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208840).

3504096 is an abundant number, since it is smaller than the sum of its proper divisors (6913584).

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

3504096 is an equidigital number, since it uses as much as digits as its factorization.

3504096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3504096 is about 1871.9230753426. The cubic root of 3504096 is about 151.8886534492. Note that the first 3 decimals are identical.

The spelling of 3504096 in words is "three million, five hundred four thousand, ninety-six".