3908736 has 160 divisors (see below), whose sum is σ = 12959100. Its totient is φ = 1161216.

The previous prime is 3908731. The next prime is 3908741. The reversal of 3908736 is 6378093.

It is an interprime number because it is at equal distance from previous prime (3908731) and next prime (3908741).

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 129600 = 1944^2 + 360^2 .

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 3908736.

It is not an unprimeable number, because it can be changed into a prime (3908731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134770 + ... + 134798.

Almost surely, 2^3908736 is an apocalyptic number.

3908736 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 3908736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479550).

3908736 is an abundant number, since it is smaller than the sum of its proper divisors (9050364).

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

3908736 is a wasteful number, since it uses less digits than its factorization.

3908736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

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

The square root of 3908736 is about 1977.0523513554. The cubic root of 3908736 is about 157.5235338983.

The spelling of 3908736 in words is "three million, nine hundred eight thousand, seven hundred thirty-six".