3552768 has 80 divisors (see below), whose sum is σ = 10557360. Its totient is φ = 1179648.

The previous prime is 3552751. The next prime is 3552781. The reversal of 3552768 is 8672553.

3552768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3552768³ (a number of 21 digits) contains 333 as substring.

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 3⁸ + 5² + 5⁹ + 2²⁰ + 7⁴ + 6⁷ + 8⁶ .

It is a congruent number.

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, 13696 + ... + 13952.

It is an arithmetic number, because the mean of its divisors is an integer number (131967).

Almost surely, 2^3552768 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 3552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278680).

3552768 is an abundant number, since it is smaller than the sum of its proper divisors (7004592).

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

3552768 is an equidigital number, since it uses as much as digits as its factorization.

3552768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 3552768 is about 1884.8787759429. The cubic root of 3552768 is about 152.5886683136.

The spelling of 3552768 in words is "three million, five hundred fifty-two thousand, seven hundred sixty-eight".