3668880 has 40 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 978304.

The previous prime is 3668879. The next prime is 3668887. The reversal of 3668880 is 888663.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3668887) 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, 7404 + ... + 7883.

Almost surely, 2^3668880 is an apocalyptic number.

3668880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3668880 is an abundant number, since it is smaller than the sum of its proper divisors (7705392).

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

3668880 is a wasteful number, since it uses less digits than its factorization.

3668880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15303 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3668880 is about 1915.4320661407. The cubic root of 3668880 is about 154.2331880769.

The spelling of 3668880 in words is "three million, six hundred sixty-eight thousand, eight hundred eighty".