3536544 has 96 divisors (see below), whose sum is σ = 10777536. Its totient is φ = 1003520.

The previous prime is 3536539. The next prime is 3536551. The reversal of 3536544 is 4456353.

3536544 = T₄₃₉ + T₄₄₀ + ... + T₄₇₂.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17854 + ... + 18050.

It is an arithmetic number, because the mean of its divisors is an integer number (112266).

Almost surely, 2^3536544 is an apocalyptic number.

3536544 is a gapful number since it is divisible by the number (34) 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 3536544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388768).

3536544 is an abundant number, since it is smaller than the sum of its proper divisors (7240992).

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

3536544 is a wasteful number, since it uses less digits than its factorization.

3536544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 3536544 is about 1880.5701263181. The cubic root of 3536544 is about 152.3560443911.

The spelling of 3536544 in words is "three million, five hundred thirty-six thousand, five hundred forty-four".