3867640 has 64 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 1254528.

The previous prime is 3867629. The next prime is 3867649. The reversal of 3867640 is 467683.

3867640 is nontrivially palindromic in base 13.

3867640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3867596 and 3867605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3867649) 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, 4957 + ... + 5683.

It is an arithmetic number, because the mean of its divisors is an integer number (163800).

Almost surely, 2^3867640 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 3867640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3867640 is an abundant number, since it is smaller than the sum of its proper divisors (6615560).

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

3867640 is a wasteful number, since it uses less digits than its factorization.

3867640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3867640 is about 1966.6316381061. The cubic root of 3867640 is about 156.9695263180.

The spelling of 3867640 in words is "three million, eight hundred sixty-seven thousand, six hundred forty".