3282720 has 96 divisors (see below), whose sum is σ = 11829888. Its totient is φ = 749568.

The previous prime is 3282709. The next prime is 3282731. The reversal of 3282720 is 272823.

It is an interprime number because it is at equal distance from previous prime (3282709) and next prime (3282731).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2872 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (123228).

Almost surely, 2^3282720 is an apocalyptic number.

3282720 is a gapful number since it is divisible by the number (30) 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 3282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914944).

3282720 is an abundant number, since it is smaller than the sum of its proper divisors (8547168).

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

3282720 is a wasteful number, since it uses less digits than its factorization.

3282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3282720 is about 1811.8278063878. The cubic root of 3282720 is about 148.6202361481.

The spelling of 3282720 in words is "three million, two hundred eighty-two thousand, seven hundred twenty".