3665880 has 96 divisors (see below), whose sum is σ = 12636000. Its totient is φ = 918528.

The previous prime is 3665869. The next prime is 3665881. The reversal of 3665880 is 885663.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3665881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5821 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (131625).

Almost surely, 2^3665880 is an apocalyptic number.

3665880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3665880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318000).

3665880 is an abundant number, since it is smaller than the sum of its proper divisors (8970120).

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

3665880 is a wasteful number, since it uses less digits than its factorization.

3665880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3665880 is about 1914.6487928599. The cubic root of 3665880 is about 154.1911383927.

The spelling of 3665880 in words is "three million, six hundred sixty-five thousand, eight hundred eighty".