3984336 has 80 divisors (see below), whose sum is σ = 11963520. Its totient is φ = 1267200.

The previous prime is 3984317. The next prime is 3984347. The reversal of 3984336 is 6334893.

3984336 = T₃₉₃ + T₃₉₄ + ... + T₄₃₈.

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 3⁷ + 9² + 8⁷ + 4⁶ + 3⁸ + 3¹³ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3984336.

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, 9736 + ... + 10136.

It is an arithmetic number, because the mean of its divisors is an integer number (149544).

Almost surely, 2^3984336 is an apocalyptic number.

3984336 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 3984336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981760).

3984336 is an abundant number, since it is smaller than the sum of its proper divisors (7979184).

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

3984336 is a wasteful number, since it uses less digits than its factorization.

3984336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3984336 is about 1996.0801587111. The cubic root of 3984336 is about 158.5326253797.

The spelling of 3984336 in words is "three million, nine hundred eighty-four thousand, three hundred thirty-six".