3273984 has 162 divisors, whose sum is σ = 11359530. Its totient is φ = 903168.

The previous prime is 3273983. The next prime is 3273989. The reversal of 3273984 is 4893723.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 451584 = 1680^2 + 672^2 .

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

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

It is a d-powerful number, because it can be written as 3⁵ + 2¹⁹ + 7⁶ + 3⁷ + 9⁶ + 8⁷ + 4⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3273983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112882 + ... + 112910.

Almost surely, 2^3273984 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 3273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679765).

3273984 is an abundant number, since it is smaller than the sum of its proper divisors (8085546).

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

3273984 is a wasteful number, since it uses less digits than its factorization.

3273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3273984 is about 1809.4153751972. The cubic root of 3273984 is about 148.4882825839.

It can be divided in two parts, 32739 and 84, that added together give a palindrome (32823).

The spelling of 3273984 in words is "three million, two hundred seventy-three thousand, nine hundred eighty-four".