3667680 has 120 divisors (see below), whose sum is σ = 12989592. Its totient is φ = 974592.

The previous prime is 3667679. The next prime is 3667721. The reversal of 3667680 is 867663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12819 + ... + 13101.

Almost surely, 2^3667680 is an apocalyptic number.

3667680 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 3667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494796).

3667680 is an abundant number, since it is smaller than the sum of its proper divisors (9321912).

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

3667680 is a wasteful number, since it uses less digits than its factorization.

3667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3667680 is about 1915.1187952709. The cubic root of 3667680 is about 154.2163709549.

The spelling of 3667680 in words is "three million, six hundred sixty-seven thousand, six hundred eighty".