3284736 has 144 divisors (see below), whose sum is σ = 10988544. Its totient is φ = 847872.

The previous prime is 3284719. The next prime is 3284737. The reversal of 3284736 is 6374823.

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

It is an Ulam number.

Its product of digits (24192) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3284697 and 3284706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69865 + ... + 69911.

Almost surely, 2^3284736 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 3284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494272).

3284736 is an abundant number, since it is smaller than the sum of its proper divisors (7703808).

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

3284736 is a wasteful number, since it uses less digits than its factorization.

3284736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3284736 is about 1812.3840652577. The cubic root of 3284736 is about 148.6506537167.

The spelling of 3284736 in words is "three million, two hundred eighty-four thousand, seven hundred thirty-six".