3805680 has 80 divisors (see below), whose sum is σ = 11990304. Its totient is φ = 998400.

The previous prime is 3805679. The next prime is 3805687. The reversal of 3805680 is 865083.

3805680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3805687) 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, 24162 + ... + 24318.

Almost surely, 2^3805680 is an apocalyptic number.

3805680 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 3805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995152).

3805680 is an abundant number, since it is smaller than the sum of its proper divisors (8184624).

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

3805680 is a wasteful number, since it uses less digits than its factorization.

3805680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3805680 is about 1950.8152142117. The cubic root of 3805680 is about 156.1267871312.

The spelling of 3805680 in words is "three million, eight hundred five thousand, six hundred eighty".