3533824 has 88 divisors (see below), whose sum is σ = 8843040. Its totient is φ = 1376256.

The previous prime is 3533819. The next prime is 3533839. The reversal of 3533824 is 4283353.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 3⁴ + 5⁹ + 3⁴ + 3¹² + 8 + 2⁹ + 4¹⁰ .

It is a junction number, because it is equal to n+sod(n) for n = 3533792 and 3533801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121842 + ... + 121870.

Almost surely, 2^3533824 is an apocalyptic number.

3533824 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 3533824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421520).

3533824 is an abundant number, since it is smaller than the sum of its proper divisors (5309216).

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

3533824 is a wasteful number, since it uses less digits than its factorization.

3533824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 3533824 is about 1879.8468022687. The cubic root of 3533824 is about 152.3169747298.

It can be divided in two parts, 3533 and 824, that multiplied together give a palindrome (2911192).

The spelling of 3533824 in words is "three million, five hundred thirty-three thousand, eight hundred twenty-four".