3807936 has 84 divisors (see below), whose sum is σ = 11926824. Its totient is φ = 1152000.

The previous prime is 3807931. The next prime is 3807941. The reversal of 3807936 is 6397083.

It is an interprime number because it is at equal distance from previous prime (3807931) and next prime (3807941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3807936.

It is not an unprimeable number, because it can be changed into a prime (3807931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6036 + ... + 6636.

It is an arithmetic number, because the mean of its divisors is an integer number (141986).

Almost surely, 2^3807936 is an apocalyptic number.

3807936 is a gapful number since it is divisible by the number (36) 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 3807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963412).

3807936 is an abundant number, since it is smaller than the sum of its proper divisors (8118888).

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

3807936 is a wasteful number, since it uses less digits than its factorization.

3807936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3807936 is about 1951.3933483539. The cubic root of 3807936 is about 156.1576315931.

The spelling of 3807936 in words is "three million, eight hundred seven thousand, nine hundred thirty-six".