3867864 has 192 divisors, whose sum is σ = 13789440. Its totient is φ = 887040.

The previous prime is 3867859. The next prime is 3867881. The reversal of 3867864 is 4687683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168157 + ... + 168179.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 2^3867864 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 3867864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

3867864 is an abundant number, since it is smaller than the sum of its proper divisors (9921576).

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

3867864 is a wasteful number, since it uses less digits than its factorization.

3867864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3867864 is about 1966.6885874485. The cubic root of 3867864 is about 156.9725566324.

The spelling of 3867864 in words is "three million, eight hundred sixty-seven thousand, eight hundred sixty-four".