3552320 has 56 divisors (see below), whose sum is σ = 8970264. Its totient is φ = 1335296.

The previous prime is 3552313. The next prime is 3552347. The reversal of 3552320 is 232553.

3552320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 3182656 = 608^2 + 1784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 3⁷ + 5³ + 5⁹ + 2⁹ + 3¹³ + 2¹¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3552292 and 3552301.

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, 5114 + ... + 5766.

Almost surely, 2^3552320 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 3552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485132).

3552320 is an abundant number, since it is smaller than the sum of its proper divisors (5417944).

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

3552320 is a wasteful number, since it uses less digits than its factorization.

3552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 3552320 is about 1884.7599316624. The cubic root of 3552320 is about 152.5822542916.

Adding to 3552320 its reverse (232553), we get a palindrome (3784873).

The spelling of 3552320 in words is "three million, five hundred fifty-two thousand, three hundred twenty".