3652768 has 48 divisors (see below), whose sum is σ = 8588160. Its totient is φ = 1495296.

The previous prime is 3652763. The next prime is 3652771. The reversal of 3652768 is 8672563.

3652768 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3652768 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (3652763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4798 + ... + 5506.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 2^3652768 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 3652768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080).

3652768 is an abundant number, since it is smaller than the sum of its proper divisors (4935392).

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

3652768 is a wasteful number, since it uses less digits than its factorization.

3652768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 741 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 3652768 is about 1911.2215988733. The cubic root of 3652768 is about 154.0070834994.

The spelling of 3652768 in words is "three million, six hundred fifty-two thousand, seven hundred sixty-eight".