3652880 has 80 divisors (see below), whose sum is σ = 10606464. Its totient is φ = 1136640.

The previous prime is 3652871. The next prime is 3652889. The reversal of 3652880 is 882563.

3652880 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3652871) and next prime (3652889).

It is a tau number, because it is divible by the number of its divisors (80).

3652880 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5864 + ... + 6456.

Almost surely, 2^3652880 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 3652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232).

3652880 is an abundant number, since it is smaller than the sum of its proper divisors (6953584).

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

3652880 is a wasteful number, since it uses less digits than its factorization.

3652880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3652880 is about 1911.2508992804. The cubic root of 3652880 is about 154.0086575219.

The spelling of 3652880 in words is "three million, six hundred fifty-two thousand, eight hundred eighty".