3559920 has 160 divisors (see below), whose sum is σ = 13665792. Its totient is φ = 746496.

The previous prime is 3559909. The next prime is 3559931. The reversal of 3559920 is 299553.

3559920 = T₇₁ + T₇₂ + ... + T₂₇₈.

3559920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3559909) and next prime (3559931).

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 31 ways as a sum of consecutive naturals, for example, 21759 + ... + 21921.

Almost surely, 2^3559920 is an apocalyptic number.

3559920 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 3559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832896).

3559920 is an abundant number, since it is smaller than the sum of its proper divisors (10105872).

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

3559920 is a wasteful number, since it uses less digits than its factorization.

3559920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 3559920 is about 1886.7750263346. The cubic root of 3559920 is about 152.6909906600.

The spelling of 3559920 in words is "three million, five hundred fifty-nine thousand, nine hundred twenty".