3873936 has 120 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1084160.

The previous prime is 3873931. The next prime is 3873941. The reversal of 3873936 is 6393783.

3873936 is a nontrivial binomial coefficient, being equal to C(2784, 2).

It is an interprime number because it is at equal distance from previous prime (3873931) and next prime (3873941).

It is a junction number, because it is equal to n+sod(n) for n = 3873894 and 3873903.

It is not an unprimeable number, because it can be changed into a prime (3873931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133570 + ... + 133598.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 2^3873936 is an apocalyptic number.

3873936 is the 2783-rd triangular number and also the 1392-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3873936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

3873936 is an abundant number, since it is smaller than the sum of its proper divisors (8000304).

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

3873936 is a wasteful number, since it uses less digits than its factorization.

3873936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 3873936 is about 1968.2316936784. The cubic root of 3873936 is about 157.0546552648.

The spelling of 3873936 in words is "three million, eight hundred seventy-three thousand, nine hundred thirty-six".