3645880 has 64 divisors (see below), whose sum is σ = 9720000. Its totient is φ = 1204224.

The previous prime is 3645877. The next prime is 3645893. The reversal of 3645880 is 885463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7896 + ... + 8344.

It is an arithmetic number, because the mean of its divisors is an integer number (151875).

Almost surely, 2^3645880 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 3645880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860000).

3645880 is an abundant number, since it is smaller than the sum of its proper divisors (6074120).

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

3645880 is a wasteful number, since it uses less digits than its factorization.

3645880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3645880 is about 1909.4187597277. The cubic root of 3645880 is about 153.9102192153.

The spelling of 3645880 in words is "three million, six hundred forty-five thousand, eight hundred eighty".