3284120 has 64 divisors (see below), whose sum is σ = 8700480. Its totient is φ = 1092096.

The previous prime is 3284069. The next prime is 3284137. The reversal of 3284120 is 214823.

3284120 = T₁₈₄ + T₁₈₅ + ... + T₂₉₅.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3284092 and 3284101.

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, 10202 + ... + 10518.

It is an arithmetic number, because the mean of its divisors is an integer number (135945).

Almost surely, 2^3284120 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 3284120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350240).

3284120 is an abundant number, since it is smaller than the sum of its proper divisors (5416360).

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

3284120 is a wasteful number, since it uses less digits than its factorization.

3284120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3284120 is about 1812.2141153848. The cubic root of 3284120 is about 148.6413607804.

Adding to 3284120 its reverse (214823), we get a palindrome (3498943).

The spelling of 3284120 in words is "three million, two hundred eighty-four thousand, one hundred twenty".