3287736 has 64 divisors (see below), whose sum is σ = 9446400. Its totient is φ = 1058400.

The previous prime is 3287719. The next prime is 3287747. The reversal of 3287736 is 6377823.

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 3287736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6451 + ... + 6941.

It is an arithmetic number, because the mean of its divisors is an integer number (147600).

Almost surely, 2^3287736 is an apocalyptic number.

3287736 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 3287736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723200).

3287736 is an abundant number, since it is smaller than the sum of its proper divisors (6158664).

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

3287736 is a wasteful number, since it uses less digits than its factorization.

3287736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3287736 is about 1813.2115155160. The cubic root of 3287736 is about 148.6958949238.

The spelling of 3287736 in words is "three million, two hundred eighty-seven thousand, seven hundred thirty-six".