3559752 has 72 divisors (see below), whose sum is σ = 11226150. Its totient is φ = 1016064.

The previous prime is 3559747. The next prime is 3559753. The reversal of 3559752 is 2579553.

It can be written as a sum of positive squares in only one way, i.e., 3261636 + 298116 = 1806^2 + 546^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 3⁶ + 5⁸ + 5⁸ + 9² + 7⁷ + 5⁹ + 2¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (3559753) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3024 + ... + 4032.

Almost surely, 2^3559752 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 3559752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613075).

3559752 is an abundant number, since it is smaller than the sum of its proper divisors (7666398).

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

3559752 is a wasteful number, since it uses less digits than its factorization.

3559752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1021 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 3559752 is about 1886.7305053982. The cubic root of 3559752 is about 152.6885886875.

The spelling of 3559752 in words is "three million, five hundred fifty-nine thousand, seven hundred fifty-two".