3867940 has 48 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1464320.

The previous prime is 3867937. The next prime is 3867947. The reversal of 3867940 is 497683.

It can be written as a sum of positive squares in 8 ways, for example, as 599076 + 3268864 = 774^2 + 1808^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3867940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3867947) 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, 43416 + ... + 43504.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 2^3867940 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 3867940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286520).

3867940 is an abundant number, since it is smaller than the sum of its proper divisors (4705100).

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

3867940 is a wasteful number, since it uses less digits than its factorization.

3867940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3867940 is about 1966.7079091721. The cubic root of 3867940 is about 156.9735847481.

The spelling of 3867940 in words is "three million, eight hundred sixty-seven thousand, nine hundred forty".