3579936 has 48 divisors (see below), whose sum is σ = 9525600. Its totient is φ = 1177088.

The previous prime is 3579931. The next prime is 3579949. The reversal of 3579936 is 6399753.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3579936³ (a number of 21 digits) contains 333 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3579931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8335 + ... + 8753.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 2^3579936 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 3579936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762800).

3579936 is an abundant number, since it is smaller than the sum of its proper divisors (5945664).

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

3579936 is a wasteful number, since it uses less digits than its factorization.

3579936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its digits is 153090, while the sum is 42.

The square root of 3579936 is about 1892.0718802413. The cubic root of 3579936 is about 152.9766293493.

The spelling of 3579936 in words is "three million, five hundred seventy-nine thousand, nine hundred thirty-six".