3201984 has 112 divisors (see below), whose sum is σ = 10058400. Its totient is φ = 995328.

The previous prime is 3201983. The next prime is 3202019. The reversal of 3201984 is 4891023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201983) 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, 29322 + ... + 29430.

Almost surely, 2^3201984 is an apocalyptic number.

3201984 is a gapful number since it is divisible by the number (34) 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 3201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029200).

3201984 is an abundant number, since it is smaller than the sum of its proper divisors (6856416).

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

3201984 is a wasteful number, since it uses less digits than its factorization.

3201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3201984 is about 1789.4088409304. The cubic root of 3201984 is about 147.3917083142.

It can be divided in two parts, 320 and 1984, that added together give a square (2304 = 48²).

The spelling of 3201984 in words is "three million, two hundred one thousand, nine hundred eighty-four".