3562624 has 32 divisors (see below), whose sum is σ = 7646940. Its totient is φ = 1643520.

The previous prime is 3562579. The next prime is 3562627. The reversal of 3562624 is 4262653.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3534400 + 28224 = 1880^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 3³ + 5⁹ + 6⁷ + 2¹⁹ + 6⁷ + 2¹⁹ + 4⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 3562592 and 3562601.

It is not an unprimeable number, because it can be changed into a prime (3562627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 594 + ... + 2734.

Almost surely, 2^3562624 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 3562624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823470).

3562624 is an abundant number, since it is smaller than the sum of its proper divisors (4084316).

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

3562624 is a wasteful number, since it uses less digits than its factorization.

3562624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2156 counting only the distinct ones).

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

The square root of 3562624 is about 1887.4914569343. The cubic root of 3562624 is about 152.7296405872.

It can be divided in two parts, 3562 and 624, that added together give a triangular number (4186 = T₉₁).

The spelling of 3562624 in words is "three million, five hundred sixty-two thousand, six hundred twenty-four".